Aschheim, Raymond; Chester, David; Corradetti, Daniele; Irwin, Klee Three Fibonacci-chain aperiodic algebras. (English) Zbl 07768600 Quaest. Math. 46, No. 12, 2475-2487 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 17C50 11B39 52C23 PDFBibTeX XMLCite \textit{R. Aschheim} et al., Quaest. Math. 46, No. 12, 2475--2487 (2023; Zbl 07768600) Full Text: DOI arXiv OA License
Fehily, Zachary Subregular \(W\)-algebras of type \(A\). (English) Zbl 1525.17022 Commun. Contemp. Math. 25, No. 9, Article ID 2250049, 44 p. (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 81R10 81T40 PDFBibTeX XMLCite \textit{Z. Fehily}, Commun. Contemp. Math. 25, No. 9, Article ID 2250049, 44 p. (2023; Zbl 1525.17022) Full Text: DOI arXiv
Cameron, Alex; Coll, Vincent E. jun.; Hyatt, Matthew; Magnant, Colton The unbroken spectra of Frobenius seaweed algebras. (English) Zbl 07700662 J. Lie Theory 33, No. 2, 609-639 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B20 05E14 PDFBibTeX XMLCite \textit{A. Cameron} et al., J. Lie Theory 33, No. 2, 609--639 (2023; Zbl 07700662) Full Text: arXiv Link
Futorny, Vyacheslav; Morales, Oscar; Křižka, Libor Admissible representations of simple affine vertex algebras. (English) Zbl 1519.17010 J. Algebra 628, 22-70 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B08 17B67 17B69 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 628, 22--70 (2023; Zbl 1519.17010) Full Text: DOI arXiv
Nakatsuka, Shigenori On Miura maps for \(\mathcal{W}\)-superalgebras. (English) Zbl 1523.17059 Transform. Groups 28, No. 1, 375-399 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 16T05 17B56 PDFBibTeX XMLCite \textit{S. Nakatsuka}, Transform. Groups 28, No. 1, 375--399 (2023; Zbl 1523.17059) Full Text: DOI arXiv
Takenaka, Ryo Vertex algebraic construction of modules for twisted affine Lie algebras of type \(A_{2l}^{(2)}\). (English) Zbl 1519.17031 J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B69 05A19 PDFBibTeX XMLCite \textit{R. Takenaka}, J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023; Zbl 1519.17031) Full Text: DOI arXiv
Fuchs, Dmitry Representations of infinite-dimensional Lie algebras. (English) Zbl 1512.17001 Association for Mathematical Research Monographs 1. Davis, CA: Association for Mathematical Research (AMR) (ISBN 978-1-959384-00-7). 113 p., open access (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-01 17B10 17B65 17B67 17B68 17B69 PDFBibTeX XMLCite \textit{D. Fuchs}, Representations of infinite-dimensional Lie algebras. Davis, CA: Association for Mathematical Research (AMR) (2022; Zbl 1512.17001) Full Text: Link Link
Gorelik, Maria; Serganova, Vera Snowflake modules and Enright functor for Kac-Moody superalgebras. (English) Zbl 1500.17009 Algebra Number Theory 16, No. 4, 839-879 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{M. Gorelik} and \textit{V. Serganova}, Algebra Number Theory 16, No. 4, 839--879 (2022; Zbl 1500.17009) Full Text: DOI arXiv
Crampé, Nicolas; Gaboriaud, Julien; d’Andecy, Loïc Poulain; Vinet, Luc Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series. (English) Zbl 1504.17017 Ann. Henri Poincaré 23, No. 7, 2657-2682 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 16S30 81R05 PDFBibTeX XMLCite \textit{N. Crampé} et al., Ann. Henri Poincaré 23, No. 7, 2657--2682 (2022; Zbl 1504.17017) Full Text: DOI arXiv
Bouarroudj, Sofiane; Leites, Dimitry; Shchepochkina, Irina Analogs of Bol operators on superstrings. (English) Zbl 1506.17008 Int. J. Algebra Comput. 32, No. 4, 807-835 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 53B99 PDFBibTeX XMLCite \textit{S. Bouarroudj} et al., Int. J. Algebra Comput. 32, No. 4, 807--835 (2022; Zbl 1506.17008) Full Text: DOI arXiv
Kambaso, Kunda Homogeneous bases for Demazure modules. (English) Zbl 1496.17005 Commun. Algebra 50, No. 7, 2934-2953 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 05E10 16S30 17B35 PDFBibTeX XMLCite \textit{K. Kambaso}, Commun. Algebra 50, No. 7, 2934--2953 (2022; Zbl 1496.17005) Full Text: DOI arXiv
Grantcharov, Dimitar; Nguyen, Khoa Exponentiation and Fourier transform of tensor modules of \(\mathfrak{sl}(n+1)\). (English) Zbl 1490.17013 J. Pure Appl. Algebra 226, No. 7, Article ID 106972, 17 p. (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B66 PDFBibTeX XMLCite \textit{D. Grantcharov} and \textit{K. Nguyen}, J. Pure Appl. Algebra 226, No. 7, Article ID 106972, 17 p. (2022; Zbl 1490.17013) Full Text: DOI arXiv
Naisse, Grégoire; Vaz, Pedro 2-Verma modules. (English) Zbl 1501.17022 J. Reine Angew. Math. 782, 43-108 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 18G35 18N25 PDFBibTeX XMLCite \textit{G. Naisse} and \textit{P. Vaz}, J. Reine Angew. Math. 782, 43--108 (2022; Zbl 1501.17022) Full Text: DOI arXiv
Babichenko, Andrei; Kawasetsu, Kazuya; Ridout, David; Stewart, William Representations of the Nappi-Witten vertex operator algebra. (English) Zbl 1494.17009 Lett. Math. Phys. 111, No. 5, Paper No. 131, 30 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B10 17B67 81T40 PDFBibTeX XMLCite \textit{A. Babichenko} et al., Lett. Math. Phys. 111, No. 5, Paper No. 131, 30 p. (2021; Zbl 1494.17009) Full Text: DOI arXiv
Eswara Rao, S. Generalized Casimir operators for Lie superalgebras. (English) Zbl 1484.17020 J. Math. Phys. 62, No. 10, Article ID 101703, 11 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 17B10 PDFBibTeX XMLCite \textit{S. Eswara Rao}, J. Math. Phys. 62, No. 10, Article ID 101703, 11 p. (2021; Zbl 1484.17020) Full Text: DOI arXiv
Rasmussen, Jørgen; Walton, Mark A. Demazure formula for \(A_n\) Weyl polytope sums. (English) Zbl 1484.17019 J. Math. Phys. 62, No. 10, Article ID 101702, 6 p. (2021); publisher’s note ibid. 63, No. 4, Article ID 049902, 1 p. (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 PDFBibTeX XMLCite \textit{J. Rasmussen} and \textit{M. A. Walton}, J. Math. Phys. 62, No. 10, Article ID 101702, 6 p. (2021; Zbl 1484.17019) Full Text: DOI arXiv
Wei, Zhaoting Tensor-closed objects in the BGG category of a quantized semisimple Lie algebra. (English) Zbl 1471.17028 Int. Electron. J. Algebra 29, 175-186 (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B10 16T20 PDFBibTeX XMLCite \textit{Z. Wei}, Int. Electron. J. Algebra 29, 175--186 (2021; Zbl 1471.17028) Full Text: arXiv Link
Heidersdorf, Th.; Weissauer, R. Cohomological tensor functors on representations of the general linear supergroup. (English) Zbl 1475.17013 Memoirs of the American Mathematical Society 1320. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4714-4/pbk; 978-1-4704-6528-5/ebook). v, 106 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17-02 17B20 17B55 18M05 20G05 PDFBibTeX XMLCite \textit{Th. Heidersdorf} and \textit{R. Weissauer}, Cohomological tensor functors on representations of the general linear supergroup. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1475.17013) Full Text: DOI arXiv
Yousofzadeh, Malihe Tight irreducible finite weight modules over twisted affine Lie superalgebras. (English) Zbl 1512.17010 J. Pure Appl. Algebra 225, No. 10, Article ID 106703, 22 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{M. Yousofzadeh}, J. Pure Appl. Algebra 225, No. 10, Article ID 106703, 22 p. (2021; Zbl 1512.17010) Full Text: DOI arXiv
Etingof, Pavel; Gelaki, Shlomo Finite symmetric tensor categories with the Chevalley property in characteristic \(2\). (English) Zbl 1470.17009 J. Algebra Appl. 20, No. 1, Article ID 2140010, 18 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 18M05 19D23 PDFBibTeX XMLCite \textit{P. Etingof} and \textit{S. Gelaki}, J. Algebra Appl. 20, No. 1, Article ID 2140010, 18 p. (2021; Zbl 1470.17009) Full Text: DOI arXiv
Gorsky, Eugene; Neguţ, Andrei; Rasmussen, Jacob Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology. (English) Zbl 1459.57018 Adv. Math. 378, Article ID 107542, 116 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57K18 14F08 14C05 20C08 20F36 PDFBibTeX XMLCite \textit{E. Gorsky} et al., Adv. Math. 378, Article ID 107542, 116 p. (2021; Zbl 1459.57018) Full Text: DOI arXiv
Cautis, Sabin; Lauda, Aaron D.; Sussan, Joshua Curved Rickard complexes and link homologies. (English) Zbl 1460.57015 J. Reine Angew. Math. 769, 87-119 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57K18 18G80 18M99 PDFBibTeX XMLCite \textit{S. Cautis} et al., J. Reine Angew. Math. 769, 87--119 (2020; Zbl 1460.57015) Full Text: DOI arXiv
Grantcharov, Dimitar; Penkov, Ivan Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \). (English) Zbl 1489.17010 Transform. Groups 25, No. 4, 1125-1160 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{D. Grantcharov} and \textit{I. Penkov}, Transform. Groups 25, No. 4, 1125--1160 (2020; Zbl 1489.17010) Full Text: DOI arXiv
Laugwitz, Robert The relative monoidal center and tensor products of monoidal categories. (English) Zbl 1451.18033 Commun. Contemp. Math. 22, No. 8, Article ID 1950068, 53 p. (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 18M05 16T05 17B37 PDFBibTeX XMLCite \textit{R. Laugwitz}, Commun. Contemp. Math. 22, No. 8, Article ID 1950068, 53 p. (2020; Zbl 1451.18033) Full Text: DOI arXiv
Batra, Punita; Yamane, Hiroyuki Natural elements of center of generalized quantum groups. (English) Zbl 1467.17008 Srivastava, Ashish K. (ed.) et al., Categorical, homological and combinatorial methods in algebra. AMS special session in honor of S. K. Jain’s 80th birthday, Ohio State University, Columbus, Ohio, March 16–18, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 751, 19-31 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B10 81R50 PDFBibTeX XMLCite \textit{P. Batra} and \textit{H. Yamane}, Contemp. Math. 751, 19--31 (2020; Zbl 1467.17008) Full Text: DOI arXiv
Leonard, C. Graded super duality for general linear Lie superalgebras. (English) Zbl 1480.17014 Transform. Groups 25, No. 1, 149-175 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 PDFBibTeX XMLCite \textit{C. Leonard}, Transform. Groups 25, No. 1, 149--175 (2020; Zbl 1480.17014) Full Text: DOI arXiv
Tanabe, Kenichiro Simple weak modules for some subalgebras of the Heisenberg vertex algebra and Whittaker vectors. (English) Zbl 1479.17058 Algebr. Represent. Theory 23, No. 1, 53-66 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 PDFBibTeX XMLCite \textit{K. Tanabe}, Algebr. Represent. Theory 23, No. 1, 53--66 (2020; Zbl 1479.17058) Full Text: DOI arXiv
Shibata, Taiki Borel-Weil theorem for algebraic supergroups. (English) Zbl 1431.14043 J. Algebra 547, 179-219 (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14M30 17B10 16T05 20G05 PDFBibTeX XMLCite \textit{T. Shibata}, J. Algebra 547, 179--219 (2020; Zbl 1431.14043) Full Text: DOI arXiv
Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positivity on spheres. (English) Zbl 1441.22033 Anal. Math. Phys. 10, No. 1, Paper No. 9, 59 p. (2020). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E70 43A35 43A80 58Z99 81T08 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{G. Ólafsson}, Anal. Math. Phys. 10, No. 1, Paper No. 9, 59 p. (2020; Zbl 1441.22033) Full Text: DOI arXiv
Kurniadi, Edi; Ishi, Hideyuki Harmonic analysis for 4-dimensional real Frobenius Lie algebras. (English) Zbl 1439.22024 Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces. Selected papers of the 5th Tunisian-Japanese conference, PTJC 2017, Mahdia, Tunisia, December 17–21, 2017. Cham: Springer. Springer Proc. Math. Stat. 290, 95-109 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E45 22D10 43A32 PDFBibTeX XMLCite \textit{E. Kurniadi} and \textit{H. Ishi}, Springer Proc. Math. Stat. 290, 95--109 (2019; Zbl 1439.22024) Full Text: DOI
Bellamy, Gwyn Rational Cherednik algebras and Schubert cells. (English) Zbl 1433.14010 Algebr. Represent. Theory 22, No. 6, 1533-1567 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14E15 14E30 16S80 17B63 PDFBibTeX XMLCite \textit{G. Bellamy}, Algebr. Represent. Theory 22, No. 6, 1533--1567 (2019; Zbl 1433.14010) Full Text: DOI arXiv
Mickelsson, Jouko; Niemimäki, Ossi A 2-group construction from an extension of the 3-loop group \(\varOmega ^3G\). (English) Zbl 1430.22027 Lett. Math. Phys. 109, No. 12, 2649-2664 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E67 81R10 PDFBibTeX XMLCite \textit{J. Mickelsson} and \textit{O. Niemimäki}, Lett. Math. Phys. 109, No. 12, 2649--2664 (2019; Zbl 1430.22027) Full Text: DOI arXiv
Hanusch, Maximilian Differentiability of the evolution map and Mackey continuity. (English) Zbl 1430.22025 Forum Math. 31, No. 5, 1139-1177 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 58B25 22E10 58C20 PDFBibTeX XMLCite \textit{M. Hanusch}, Forum Math. 31, No. 5, 1139--1177 (2019; Zbl 1430.22025) Full Text: DOI arXiv
Cox, Ben; Guo, Xiangqian; Im, Mee Seong; Zhao, Kaiming On the module structure of the center of hyperelliptic Krichever-Novikov algebras. II. (English) Zbl 1430.22024 Commun. Algebra 47, No. 12, 5142-5163 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E60 22E66 22E99 16W25 16W20 PDFBibTeX XMLCite \textit{B. Cox} et al., Commun. Algebra 47, No. 12, 5142--5163 (2019; Zbl 1430.22024) Full Text: DOI arXiv
Kubo, Toshihisa; Ørsted, Bent On the space of \(K\)-finite solutions to intertwining differential operators. (English) Zbl 1428.22014 Represent. Theory 23, 213-248 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 17B10 PDFBibTeX XMLCite \textit{T. Kubo} and \textit{B. Ørsted}, Represent. Theory 23, 213--248 (2019; Zbl 1428.22014) Full Text: DOI arXiv
Kobayashi, Toshiyuki Conformal symmetry breaking on differential forms and some applications. (English) Zbl 1430.22017 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 289-308 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 11F70 53C18 PDFBibTeX XMLCite \textit{T. Kobayashi}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 289--308 (2019; Zbl 1430.22017) Full Text: DOI arXiv
Arakawa, Tomoyuki; Frenkel, Edward Quantum Langlands duality of representations of \(\mathcal{W}\)-algebras. (English) Zbl 1475.17041 Compos. Math. 155, No. 12, 2235-2262 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B68 17B69 81R10 PDFBibTeX XMLCite \textit{T. Arakawa} and \textit{E. Frenkel}, Compos. Math. 155, No. 12, 2235--2262 (2019; Zbl 1475.17041) Full Text: DOI arXiv
Beltiţă, Daniel; Pelletier, Fernand; Zergane, Amel On the smoothness of some quotients of Banach-Lie groups. (English) Zbl 1427.22020 Differ. Geom. Appl. 67, Article ID 101556, 22 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A10 58B10 58B25 PDFBibTeX XMLCite \textit{D. Beltiţă} et al., Differ. Geom. Appl. 67, Article ID 101556, 22 p. (2019; Zbl 1427.22020) Full Text: DOI
Barchini, Leticia Characteristic cycles of highest weight Harish-Chandra modules and the Weyl group action on the conormal variety. (English) Zbl 1426.22010 Tohoku Math. J. (2) 71, No. 2, 171-205 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDFBibTeX XMLCite \textit{L. Barchini}, Tôhoku Math. J. (2) 71, No. 2, 171--205 (2019; Zbl 1426.22010) Full Text: DOI Euclid
Jiang, Cuipo; Lam, Ching Hung; Yamauchi, Hiroshi Vertex operator algebras generated by Ising vectors of \(\sigma\)-type. (English) Zbl 1464.17031 Math. Z. 293, No. 1-2, 425-442 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 20B25 20D08 PDFBibTeX XMLCite \textit{C. Jiang} et al., Math. Z. 293, No. 1--2, 425--442 (2019; Zbl 1464.17031) Full Text: DOI arXiv
Frahm, Jan; Weiske, Clemens Symmetry breaking operators for line bundles over real projective spaces. (English) Zbl 1422.22015 J. Lie Theory 29, No. 2, 511-558 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 17B15 46F12 PDFBibTeX XMLCite \textit{J. Frahm} and \textit{C. Weiske}, J. Lie Theory 29, No. 2, 511--558 (2019; Zbl 1422.22015) Full Text: arXiv Link
Subag, Eyal The algebraic Mackey-Higson bijections. (English) Zbl 1427.22015 J. Lie Theory 29, No. 2, 473-492 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDFBibTeX XMLCite \textit{E. Subag}, J. Lie Theory 29, No. 2, 473--492 (2019; Zbl 1427.22015) Full Text: arXiv Link
East, James Idempotents and one-sided units in infinite partial Brauer monoids. (English) Zbl 1444.20038 J. Algebra 534, 427-482 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 20M20 20M10 20M17 PDFBibTeX XMLCite \textit{J. East}, J. Algebra 534, 427--482 (2019; Zbl 1444.20038) Full Text: DOI arXiv
Nakahama, Ryosuke Construction of intertwining operators between holomorphic discrete series representations. (English) Zbl 1420.22012 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 036, 101 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E45 43A85 17C30 PDFBibTeX XMLCite \textit{R. Nakahama}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 036, 101 p. (2019; Zbl 1420.22012) Full Text: DOI arXiv
Schrader, Gus; Shapiro, Alexander A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties. (English) Zbl 1451.17006 Invent. Math. 216, No. 3, 799-846 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 13F60 14M35 PDFBibTeX XMLCite \textit{G. Schrader} and \textit{A. Shapiro}, Invent. Math. 216, No. 3, 799--846 (2019; Zbl 1451.17006) Full Text: DOI arXiv
Khrypchenko, Mykola Partial actions and an embedding theorem for inverse semigroups. (English) Zbl 1438.20065 Period. Math. Hung. 78, No. 1, 47-57 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 20M18 PDFBibTeX XMLCite \textit{M. Khrypchenko}, Period. Math. Hung. 78, No. 1, 47--57 (2019; Zbl 1438.20065) Full Text: DOI arXiv
Zimmermann, Jakob Simple transitive 2-representations of left cell 2-subcategories of projective functors for star algebras. (English) Zbl 1409.18007 Commun. Algebra 47, No. 3, 1222-1237 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 18D05 16D90 16G10 PDFBibTeX XMLCite \textit{J. Zimmermann}, Commun. Algebra 47, No. 3, 1222--1237 (2019; Zbl 1409.18007) Full Text: DOI arXiv
Yee, Wai Ling Signature characters of invariant Hermitian forms on irreducible Verma modules and Hall-Littlewood polynomials. (English) Zbl 1416.22021 Math. Z. 292, No. 1-2, 267-305 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E50 05E10 22E47 PDFBibTeX XMLCite \textit{W. L. Yee}, Math. Z. 292, No. 1--2, 267--305 (2019; Zbl 1416.22021) Full Text: DOI
Prlić, Ana Classification of \(A_{\mathfrak{q}}(\lambda)\) modules by their Dirac cohomology for type \(D\), \(G_{2}\) and \(\mathfrak{sp}(2 n, \mathbb{R})\). (English) Zbl 1412.22029 J. Algebra 526, 283-308 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 22E46 PDFBibTeX XMLCite \textit{A. Prlić}, J. Algebra 526, 283--308 (2019; Zbl 1412.22029) Full Text: DOI arXiv
Queffelec, Hoel; Sartori, Antonio Mixed quantum skew Howe duality and link invariants of type \(A\). (English) Zbl 1469.57013 J. Pure Appl. Algebra 223, No. 7, 2733-2779 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57K16 17B35 17B37 20G43 81R50 PDFBibTeX XMLCite \textit{H. Queffelec} and \textit{A. Sartori}, J. Pure Appl. Algebra 223, No. 7, 2733--2779 (2019; Zbl 1469.57013) Full Text: DOI arXiv
Johnson-Freyd, Theo The moonshine anomaly. (English) Zbl 1418.20007 Commun. Math. Phys. 365, No. 3, 943-970 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 20D08 17B69 20C34 81T40 PDFBibTeX XMLCite \textit{T. Johnson-Freyd}, Commun. Math. Phys. 365, No. 3, 943--970 (2019; Zbl 1418.20007) Full Text: DOI arXiv Backlinks: MO
Glöckner, Helge Completeness of infinite-dimensional Lie groups in their left uniformity. (English) Zbl 1409.22016 Can. J. Math. 71, No. 1, 131-152 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 22E67 46A13 46M40 58D05 PDFBibTeX XMLCite \textit{H. Glöckner}, Can. J. Math. 71, No. 1, 131--152 (2019; Zbl 1409.22016) Full Text: DOI arXiv
Beliakova, Anna; Putyra, Krzysztof K.; Wehrli, Stephan M. Quantum link homology via trace functor. I. (English) Zbl 1411.57021 Invent. Math. 215, No. 2, 383-492 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M27 55N35 57Q45 PDFBibTeX XMLCite \textit{A. Beliakova} et al., Invent. Math. 215, No. 2, 383--492 (2019; Zbl 1411.57021) Full Text: DOI arXiv Link
Dobrev, Vladimir K. Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. (English) Zbl 1418.17002 De Gruyter Studies in Mathematical Physics 53. Berlin: De Gruyter (ISBN 978-3-11-060968-4/hbk; 978-3-11-061140-3/ebook). ix, 231 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B60 17B68 17B37 81R40 PDFBibTeX XMLCite \textit{V. K. Dobrev}, Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. Berlin: De Gruyter (2019; Zbl 1418.17002) Full Text: DOI
Kosyak, Alexander Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\). (English) Zbl 1403.22020 J. Funct. Anal. 276, No. 1, 78-126 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 28C20 43A80 58D20 PDFBibTeX XMLCite \textit{A. Kosyak}, J. Funct. Anal. 276, No. 1, 78--126 (2019; Zbl 1403.22020) Full Text: DOI arXiv
Cox, Ben; Im, Mee Seong On the module structure of the center of hyperelliptic Krichever-Novikov algebras. (English) Zbl 1428.22016 Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 713, 61-94 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E66 22E99 16W25 16W20 PDFBibTeX XMLCite \textit{B. Cox} and \textit{M. S. Im}, Contemp. Math. 713, 61--94 (2018; Zbl 1428.22016) Full Text: DOI arXiv
Krajczok, Jacek; Sołtan, Piotr M. Compact quantum groups with representations of bounded degree. (English) Zbl 1474.46119 J. Oper. Theory 80, No. 2, 415-428 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 46L67 20G42 22D10 16T20 PDFBibTeX XMLCite \textit{J. Krajczok} and \textit{P. M. Sołtan}, J. Oper. Theory 80, No. 2, 415--428 (2018; Zbl 1474.46119) Full Text: arXiv
Marquis, T.; Neeb, K-H. Half-Lie groups. (English) Zbl 1407.22004 Transform. Groups 23, No. 3, 801-840 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E10 58B25 PDFBibTeX XMLCite \textit{T. Marquis} and \textit{K-H. Neeb}, Transform. Groups 23, No. 3, 801--840 (2018; Zbl 1407.22004) Full Text: DOI arXiv
Barbasch, Dan; Tsai, Wan-Yu Representations associated to small nilpotent orbits for real spin groups. (English) Zbl 1403.22016 J. Lie Theory 28, No. 4, 987-1042 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDFBibTeX XMLCite \textit{D. Barbasch} and \textit{W.-Y. Tsai}, J. Lie Theory 28, No. 4, 987--1042 (2018; Zbl 1403.22016) Full Text: arXiv Link
Ip, Ivan C. H. Cluster realization of \(\mathcal{U}_q(\mathfrak{g})\) and factorizations of the universal \(R\)-matrix. (English) Zbl 1456.17011 Sel. Math., New Ser. 24, No. 5, 4461-4553 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 13F60 PDFBibTeX XMLCite \textit{I. C. H. Ip}, Sel. Math., New Ser. 24, No. 5, 4461--4553 (2018; Zbl 1456.17011) Full Text: DOI arXiv
Molchanov, V. F. Polynomial quantization and overalgebra. (English) Zbl 1400.43004 Algebr. Represent. Theory 21, No. 5, 1071-1085 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 43A85 22E46 PDFBibTeX XMLCite \textit{V. F. Molchanov}, Algebr. Represent. Theory 21, No. 5, 1071--1085 (2018; Zbl 1400.43004) Full Text: DOI
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh Lattice structure of Weyl groups via representation theory of preprojective algebras. (English) Zbl 1443.16016 Compos. Math. 154, No. 6, 1269-1305 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16G10 05E10 06B10 18E40 20F55 PDFBibTeX XMLCite \textit{O. Iyama} et al., Compos. Math. 154, No. 6, 1269--1305 (2018; Zbl 1443.16016) Full Text: DOI arXiv
Su, Dong; Yang, Shilin Green rings of weak Hopf algebras based on generalized Taft algebras. (English) Zbl 1399.16085 Period. Math. Hung. 76, No. 2, 229-242 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16T05 16T10 PDFBibTeX XMLCite \textit{D. Su} and \textit{S. Yang}, Period. Math. Hung. 76, No. 2, 229--242 (2018; Zbl 1399.16085) Full Text: DOI
Levitt, Jesse; Yakimov, Milen Quantized Weyl algebras at roots of unity. (English) Zbl 1417.17017 Isr. J. Math. 225, No. 2, 681-719 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 16S36 PDFBibTeX XMLCite \textit{J. Levitt} and \textit{M. Yakimov}, Isr. J. Math. 225, No. 2, 681--719 (2018; Zbl 1417.17017) Full Text: DOI arXiv
Hartwig, Jonas T. Noncommutative fiber products and lattice models. (English) Zbl 1456.58007 J. Algebra 508, 35-80 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 58B34 14A22 16S38 PDFBibTeX XMLCite \textit{J. T. Hartwig}, J. Algebra 508, 35--80 (2018; Zbl 1456.58007) Full Text: DOI arXiv
Ha, Ngoc Phu Topological invariants from quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) at roots of unity. (English) Zbl 1398.57022 Abh. Math. Semin. Univ. Hamb. 88, No. 1, 163-188 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M27 17B37 PDFBibTeX XMLCite \textit{N. P. Ha}, Abh. Math. Semin. Univ. Hamb. 88, No. 1, 163--188 (2018; Zbl 1398.57022) Full Text: DOI arXiv
Kosyak, Alexander V. Regular, quasi-regular and induced representations of infinite-dimensional groups. (English) Zbl 1394.22001 EMS Tracts in Mathematics 29. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-181-1/hbk; 978-3-03719-681-6/ebook). xxxii, 555 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22-06 22E66 22E65 28C20 PDFBibTeX XMLCite \textit{A. V. Kosyak}, Regular, quasi-regular and induced representations of infinite-dimensional groups. Zürich: European Mathematical Society (EMS) (2018; Zbl 1394.22001) Full Text: DOI
Dobrev, Vladimir K. Invariant differential operators. Volume 3: Supersymmetry. (English) Zbl 1418.17001 De Gruyter Studies in Mathematical Physics 49. Berlin: De Gruyter (ISBN 978-3-11-052663-9/hbk; 978-3-11-052749-0/ebook). viii, 215 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B37 20G42 17B68 PDFBibTeX XMLCite \textit{V. K. Dobrev}, Invariant differential operators. Volume 3: Supersymmetry. Berlin: De Gruyter (2018; Zbl 1418.17001) Full Text: DOI
Mansoub, Arezou Karimi; Moussavi, Ahmad Idempotent elements and uniquely clean property of skew monoid rings. (English) Zbl 1399.16068 Stud. Sci. Math. Hung. 55, No. 1, 23-40 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S36 16N60 16U80 PDFBibTeX XMLCite \textit{A. K. Mansoub} and \textit{A. Moussavi}, Stud. Sci. Math. Hung. 55, No. 1, 23--40 (2018; Zbl 1399.16068) Full Text: DOI
Molev, Alexander Sugawara operators for classical Lie algebras. (English) Zbl 1395.17001 Mathematical Surveys and Monographs 229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3659-9/hbk; 978-1-4704-4391-7/ebook). xiv, 304 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B35 16S30 17B63 17B67 17B69 PDFBibTeX XMLCite \textit{A. Molev}, Sugawara operators for classical Lie algebras. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1395.17001) Full Text: DOI
Muthiah, Dinakar On Iwahori-Hecke algebras for \(p\)-adic loop groups: double coset basis and Bruhat order. (English) Zbl 1390.22019 Am. J. Math. 140, No. 1, 221-244 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E67 17B67 20G44 20C08 PDFBibTeX XMLCite \textit{D. Muthiah}, Am. J. Math. 140, No. 1, 221--244 (2018; Zbl 1390.22019) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Gelfand-Tsetlin modules of quantum \(\mathfrak{gl}_n\) defined by admissible sets of relations. (English) Zbl 1396.17013 J. Algebra 499, 375-396 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B67 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 499, 375--396 (2018; Zbl 1396.17013) Full Text: DOI arXiv
Futorny, Vyacheslav; Kashuba, Iryna Structure of parabolically induced modules for affine Kac-Moody algebras. (English) Zbl 1425.17035 J. Algebra 500, 362-374 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{I. Kashuba}, J. Algebra 500, 362--374 (2018; Zbl 1425.17035) Full Text: DOI arXiv
Křižka, Libor; Somberg, Petr Conformal Galilei algebras, symmetric polynomials and singular vectors. (English) Zbl 1448.17027 Lett. Math. Phys. 108, No. 1, 1-44 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B80 20B30 35A30 58J70 PDFBibTeX XMLCite \textit{L. Křižka} and \textit{P. Somberg}, Lett. Math. Phys. 108, No. 1, 1--44 (2018; Zbl 1448.17027) Full Text: DOI arXiv
Webster, Ben Knot invariants and higher representation theory. (English) Zbl 1446.57001 Memoirs of the American Mathematical Society 1191. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2650-7/print; 978-1-4704-4206-4/ebook). vi, 146 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57-02 57K18 18N10 17B10 PDFBibTeX XMLCite \textit{B. Webster}, Knot invariants and higher representation theory. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1446.57001) Full Text: DOI arXiv
Nikitin, Natalie Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds. (English) Zbl 1431.22022 Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 113, 363-373 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A10 26E15 46E50 PDFBibTeX XMLCite \textit{N. Nikitin}, Banach Cent. Publ. 113, 363--373 (2017; Zbl 1431.22022) Full Text: DOI
Hirsch, Morris W. Zero sets of abelian Lie algebras of vector fields. (English) Zbl 1387.37024 J. Lie Theory 27, No. 4, 907-914 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 37C10 37C35 17B66 PDFBibTeX XMLCite \textit{M. W. Hirsch}, J. Lie Theory 27, No. 4, 907--914 (2017; Zbl 1387.37024) Full Text: arXiv Link
Chlouveraki, Maria Representation theory of framisations of knot algebras. (English) Zbl 1385.57014 Lambropoulou, Sofia (ed.) et al., Algebraic modeling of topological and computational structures and applications, THALES, Athens, Greece, July 1–3, 2015. Cham: Springer (ISBN 978-3-319-68102-3/hbk; 978-3-319-68103-0/ebook). Springer Proceedings in Mathematics & Statistics 219, 57-75 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M27 16S99 20C08 57-02 PDFBibTeX XMLCite \textit{M. Chlouveraki}, Springer Proc. Math. Stat. 219, 57--75 (2017; Zbl 1385.57014) Full Text: DOI
Karvounis, Konstantinos; Lambropoulou, Sofia Link invariants from the Yokonuma-Hecke algebras. (English) Zbl 1386.57019 Lambropoulou, Sofia (ed.) et al., Algebraic modeling of topological and computational structures and applications, THALES, Athens, Greece, July 1–3, 2015. Cham: Springer (ISBN 978-3-319-68102-3/hbk; 978-3-319-68103-0/ebook). Springer Proceedings in Mathematics & Statistics 219, 3-35 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M27 57M25 20F36 20F38 20C08 PDFBibTeX XMLCite \textit{K. Karvounis} and \textit{S. Lambropoulou}, Springer Proc. Math. Stat. 219, 3--35 (2017; Zbl 1386.57019) Full Text: DOI
Brezov, Danail S. Higher-dimensional representations of \(\mathsf {SL}_2\) and its real forms via Plücker embedding. (English) Zbl 1385.22003 Adv. Appl. Clifford Algebr. 27, No. 3, 2375-2392 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 22E60 PDFBibTeX XMLCite \textit{D. S. Brezov}, Adv. Appl. Clifford Algebr. 27, No. 3, 2375--2392 (2017; Zbl 1385.22003) Full Text: DOI
Jing, Naihuan; Zhang, Jian Quantum hyperdeterminants and hyper-Pfaffians. (English) Zbl 1384.16028 Math. Z. 287, No. 3-4, 897-914 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16T99 20G42 16W22 15B33 15A15 PDFBibTeX XMLCite \textit{N. Jing} and \textit{J. Zhang}, Math. Z. 287, No. 3--4, 897--914 (2017; Zbl 1384.16028) Full Text: DOI arXiv
Brundan, Jonathan; Ellis, Alexander P. Super Kac-Moody 2-categories. (English) Zbl 1442.17008 Proc. Lond. Math. Soc. (3) 115, No. 5, 925-973 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B37 17B67 18N10 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{A. P. Ellis}, Proc. Lond. Math. Soc. (3) 115, No. 5, 925--973 (2017; Zbl 1442.17008) Full Text: DOI arXiv
Druivenga, Nathan; Frohman, Charles; Kumar, Sanjay Tangle functors from semicyclic representations. (English) Zbl 1387.57024 J. Knot Theory Ramifications 26, No. 11, Article ID 1750065, 21 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M27 PDFBibTeX XMLCite \textit{N. Druivenga} et al., J. Knot Theory Ramifications 26, No. 11, Article ID 1750065, 21 p. (2017; Zbl 1387.57024) Full Text: DOI arXiv
McNamara, Peter J. Representations of Khovanov-Lauda-Rouquier algebras. III: Symmetric affine type. (English) Zbl 1388.16041 Math. Z. 287, No. 1-2, 243-286 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16W50 16T05 17B10 20C08 PDFBibTeX XMLCite \textit{P. J. McNamara}, Math. Z. 287, No. 1--2, 243--286 (2017; Zbl 1388.16041) Full Text: DOI arXiv
Kleshchev, Alexander S.; Steinberg, David J. Homomorphisms between standard modules over finite-type KLR algebras. (English) Zbl 1425.17021 Compos. Math. 153, No. 3, 621-646 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 16G99 16E05 PDFBibTeX XMLCite \textit{A. S. Kleshchev} and \textit{D. J. Steinberg}, Compos. Math. 153, No. 3, 621--646 (2017; Zbl 1425.17021) Full Text: DOI arXiv
Cheon, Gi-Sang; Luzón, Ana; Morón, Manuel A.; Prieto-Martinez, L. Felipe; Song, Minho Finite and infinite dimensional Lie group structures on Riordan groups. (English) Zbl 1378.22013 Adv. Math. 319, 522-566 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E66 43A80 20H99 05A05 PDFBibTeX XMLCite \textit{G.-S. Cheon} et al., Adv. Math. 319, 522--566 (2017; Zbl 1378.22013) Full Text: DOI
Glöckner, Helge Completeness of locally \(k_{\omega}\)-groups and related infinite-dimensional Lie groups. (English) Zbl 1375.22012 Topology Appl. 228, 277-284 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 46A13 46M40 58D05 PDFBibTeX XMLCite \textit{H. Glöckner}, Topology Appl. 228, 277--284 (2017; Zbl 1375.22012) Full Text: DOI arXiv
Gautam, Sachin; Toledano Laredo, Valerio Meromorphic tensor equivalence for Yangians and quantum loop algebras. (English) Zbl 1432.17012 Publ. Math., Inst. Hautes Étud. Sci. 125, 267-337 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{S. Gautam} and \textit{V. Toledano Laredo}, Publ. Math., Inst. Hautes Étud. Sci. 125, 267--337 (2017; Zbl 1432.17012) Full Text: DOI arXiv
Lü, Rencai; Zhao, Kaiming A family of simple weight modules over the Virasoro algebra. (English) Zbl 1396.17007 J. Algebra 479, 437-460 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B68 PDFBibTeX XMLCite \textit{R. Lü} and \textit{K. Zhao}, J. Algebra 479, 437--460 (2017; Zbl 1396.17007) Full Text: DOI arXiv
Xu, Xiaoping Representations of Lie algebras and partial differential equations. (English) Zbl 1391.17001 Singapore: Springer (ISBN 978-981-10-6390-9/hbk; 978-981-10-6391-6/ebook). xxxvi, 620 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B10 17B22 17B20 PDFBibTeX XMLCite \textit{X. Xu}, Representations of Lie algebras and partial differential equations. Singapore: Springer (2017; Zbl 1391.17001) Full Text: DOI arXiv
Bavula, V. V.; Lu, T. Torsion simple modules over the quantum spatial ageing algebra. (English) Zbl 1378.16033 Commun. Algebra 45, No. 10, 4166-4189 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S36 16D60 16D70 PDFBibTeX XMLCite \textit{V. V. Bavula} and \textit{T. Lu}, Commun. Algebra 45, No. 10, 4166--4189 (2017; Zbl 1378.16033) Full Text: DOI Link
Glöckner, Helge; Neeb, Karl-Hermann Diffeomorphism groups of compact convex sets. (English) Zbl 1372.58008 Indag. Math., New Ser. 28, No. 4, 760-783 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 58D05 22E55 52A20 PDFBibTeX XMLCite \textit{H. Glöckner} and \textit{K.-H. Neeb}, Indag. Math., New Ser. 28, No. 4, 760--783 (2017; Zbl 1372.58008) Full Text: DOI arXiv
Zellner, Christoph On the existence of regular vectors. (English) Zbl 1373.22031 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 749-763 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{C. Zellner}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 749--763 (2017; Zbl 1373.22031) Full Text: arXiv
Neeb, Karl-Hermann Bounded and semibounded representations of infinite dimensional Lie groups. (English) Zbl 1373.22030 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 541-563 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 541--563 (2017; Zbl 1373.22030) Full Text: arXiv
Dobrev, Vladimir K. Invariant differential operators. Volume 2: Quantum groups. (English) Zbl 1375.17002 De Gruyter Studies in Mathematical Physics 39. Berlin: De Gruyter (ISBN 978-3-11-043543-6/hbk; 978-3-11-042770-7/ebook). xi, 393 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B37 20G42 17B68 PDFBibTeX XMLCite \textit{V. K. Dobrev}, Invariant differential operators. Volume 2: Quantum groups. Berlin: De Gruyter (2017; Zbl 1375.17002) Full Text: DOI
Neeb, Karl-Hermann; Salmasian, Hadi; Zellner, Christoph Smoothing operators and \(C^\ast\)-algebras for infinite dimensional Lie groups. (English) Zbl 1368.22013 Int. J. Math. 28, No. 5, Article ID 1750042, 32 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb} et al., Int. J. Math. 28, No. 5, Article ID 1750042, 32 p. (2017; Zbl 1368.22013) Full Text: DOI arXiv
Dimitrov, Ivan; Roth, Mike Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one. (English) Zbl 1367.14017 Algebra Number Theory 11, No. 4, 767-815 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14M15 14F25 17B10 PDFBibTeX XMLCite \textit{I. Dimitrov} and \textit{M. Roth}, Algebra Number Theory 11, No. 4, 767--815 (2017; Zbl 1367.14017) Full Text: DOI arXiv
Levasseur, T.; Stafford, J. T. Higher symmetries of powers of the Laplacian and rings of differential operators. (English) Zbl 1371.16028 Compos. Math. 153, No. 4, 678-716 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S32 58J70 17B08 17B35 53A30 70S10 PDFBibTeX XMLCite \textit{T. Levasseur} and \textit{J. T. Stafford}, Compos. Math. 153, No. 4, 678--716 (2017; Zbl 1371.16028) Full Text: DOI arXiv
Goodearl, K. R.; Yakimov, M. T. Quantum cluster algebra structures on quantum nilpotent algebras. (English) Zbl 1372.16040 Mem. Am. Math. Soc. 1169, viii, 116 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16T20 13F60 17B37 14M15 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{M. T. Yakimov}, Quantum cluster algebra structures on quantum nilpotent algebras. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1372.16040) Full Text: DOI arXiv
Passi, Inder Bir S.; Sicking, Thomas Dimension quotients of metabelian Lie rings. (English) Zbl 1368.16032 Int. J. Algebra Comput. 27, No. 2, 251-258 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S30 17B35 16W10 PDFBibTeX XMLCite \textit{I. B. S. Passi} and \textit{T. Sicking}, Int. J. Algebra Comput. 27, No. 2, 251--258 (2017; Zbl 1368.16032) Full Text: DOI arXiv