Pinet, Théo A functor for constructing \(R\)-matrices in the category \(\mathcal{O}\) of Borel quantum loop algebras. (English) Zbl 07808988 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12815, 46 p. (2024). MSC: 13F60 16D90 16T25 17B37 82B23 17B67 17B80 18A22 18M15 81R10 PDFBibTeX XMLCite \textit{T. Pinet}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12815, 46 p. (2024; Zbl 07808988) Full Text: DOI arXiv OA License
Ángel, Andrés; Colman, Hellen \(G\)-category versus orbifold category. (English) Zbl 1520.55005 Topol. Methods Nonlinear Anal. 61, No. 1, 179-197 (2023). Reviewer: Daniel Tanré (Villeneuve d’Ascq) MSC: 55M30 22A22 55P91 55R91 58D19 55P35 18B40 58E40 PDFBibTeX XMLCite \textit{A. Ángel} and \textit{H. Colman}, Topol. Methods Nonlinear Anal. 61, No. 1, 179--197 (2023; Zbl 1520.55005) Full Text: DOI arXiv
Creutzig, Thomas; Linshaw, Andrew R. Trialities of orthosymplectic \(\mathcal{W} \)-algebras. (English) Zbl 1504.18016 Adv. Math. 409, Part B, Article ID 108678, 79 p. (2022). Reviewer: Robert McRae (Beijing) MSC: 18M20 17B69 17B67 81R10 81T40 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Adv. Math. 409, Part B, Article ID 108678, 79 p. (2022; Zbl 1504.18016) Full Text: DOI arXiv
Creutzig, Thomas; Genra, Naoki; Nakatsuka, Shigenori; Sato, Ryo Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras. (English) Zbl 1511.17062 Commun. Math. Phys. 393, No. 1, 1-60 (2022). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B67 18M15 18M20 81R10 81T40 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Math. Phys. 393, No. 1, 1--60 (2022; Zbl 1511.17062) Full Text: DOI arXiv
Creutzig, Thomas; McRae, Robert; Yang, Jinwei Direct limit completions of vertex tensor categories. (English) Zbl 1502.17026 Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022). MSC: 17B69 17B37 17B67 81T40 81R10 18M15 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022; Zbl 1502.17026) Full Text: DOI arXiv
Penkov, Ivan; Hoyt, Crystal Classical Lie algebras at infinity. (English) Zbl 1490.17025 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-89659-1/hbk; 978-3-030-89660-7/ebook). xiii, 239 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B45 17B05 17B10 17B55 18M70 PDFBibTeX XMLCite \textit{I. Penkov} and \textit{C. Hoyt}, Classical Lie algebras at infinity. Cham: Springer (2022; Zbl 1490.17025) Full Text: DOI
Lean, Madeleine Jotz; Mackenzie, Kirill C. H. Transitive double Lie algebroids via core diagrams. (English) Zbl 1484.22015 J. Geom. Mech. 13, No. 3, 403-457 (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 22E65 53C05 53D17 18N10 PDFBibTeX XMLCite \textit{M. J. Lean} and \textit{K. C. H. Mackenzie}, J. Geom. Mech. 13, No. 3, 403--457 (2021; Zbl 1484.22015) Full Text: DOI arXiv
Neretin, Yury A. Description of unitary representations of the group of infinite \(p\)-adic integer matrices. (English) Zbl 1505.22009 Represent. Theory 25, 606-643 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 22E66 20M18 18B99 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Represent. Theory 25, 606--643 (2021; Zbl 1505.22009) Full Text: DOI arXiv
Costello, Kevin; Gwilliam, Owen Factorization algebras in quantum field theory. Volume 2. (English) Zbl 1508.81930 New Mathematical Monographs 41. Cambridge: Cambridge University Press (ISBN 978-1-107-16315-7/hbk; 978-1-00-900616-3/set; 978-1-316-67866-4/ebook). xiii, 402 p. (2021). MSC: 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 47A68 18G35 16E45 18F20 41A58 58A25 81-02 17-02 PDFBibTeX XMLCite \textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 2. Cambridge: Cambridge University Press (2021; Zbl 1508.81930) Full Text: DOI
Pestov, Vladimir G.; Uspenskij, Vladimir V. On epimorphisms in some categories of infinite-dimensional Lie groups. (English) Zbl 1486.22016 J. Lie Theory 31, No. 3, 871-884 (2021). Reviewer: Alexander Schmeding (Bodø) MSC: 22E65 18A20 58D05 22A05 PDFBibTeX XMLCite \textit{V. G. Pestov} and \textit{V. V. Uspenskij}, J. Lie Theory 31, No. 3, 871--884 (2021; Zbl 1486.22016) Full Text: arXiv Link
Brundan, Jonathan; Savage, Alistair; Webster, Ben Foundations of Frobenius Heisenberg categories. (English) Zbl 1471.18019 J. Algebra 578, 115-185 (2021). MSC: 18M05 17B37 17B10 17B65 PDFBibTeX XMLCite \textit{J. Brundan} et al., J. Algebra 578, 115--185 (2021; Zbl 1471.18019) Full Text: DOI arXiv
Cabau, Patrick; Pelletier, Fernand WITHDRAWN: A survey on partial Nambu-Poisson structures in the convenient setting. arXiv:2112.14592 Preprint, arXiv:2112.14592 [math.DG] (2021); retraction notice ibid. MSC: 58A30 18A30 46T05 37K30 17B99 22E65 BibTeX Cite \textit{P. Cabau} and \textit{F. Pelletier}, ``WITHDRAWN: A survey on partial Nambu-Poisson structures in the convenient setting'', Preprint, arXiv:2112.14592 [math.DG] (2021); retraction notice ibid. Full Text: arXiv OA License
Entova-Aizenbud, Inna; Hinich, Vladimir; Serganova, Vera Deligne categories and the limit of categories \(\mathrm{Rep}(GL(m|n))\). (English) Zbl 1477.18034 Int. Math. Res. Not. 2020, No. 15, 4602-4666 (2020). MSC: 18M05 18G80 17B10 22E66 PDFBibTeX XMLCite \textit{I. Entova-Aizenbud} et al., Int. Math. Res. Not. 2020, No. 15, 4602--4666 (2020; Zbl 1477.18034) Full Text: DOI arXiv
Rasmussen, Jørgen Staggered and affine Kac modules over \(A_1^{(1)}\). (English) Zbl 1472.81115 Nucl. Phys., B 950, Article ID 114865, 46 p. (2020). MSC: 81R10 17B67 17B68 18D60 PDFBibTeX XMLCite \textit{J. Rasmussen}, Nucl. Phys., B 950, Article ID 114865, 46 p. (2020; Zbl 1472.81115) Full Text: DOI arXiv
Kleinschmidt, Axel; Nicolai, Hermann; Viganò, Adriano On spinorial representations of involutory subalgebras of Kac-Moody algebras. (English) Zbl 1454.81197 Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 179-215 (2020). MSC: 81T40 81R10 17B67 14L30 18A32 17B15 81T32 83E50 81T16 15A66 81V22 81V74 PDFBibTeX XMLCite \textit{A. Kleinschmidt} et al., Mosc. Lect. 5, 179--215 (2020; Zbl 1454.81197) Full Text: DOI arXiv
Cabau, Patrick; Pelletier, Fernand Projective and direct limits of Banach tensor structures. (English) Zbl 1448.58004 Differ. Geom. Dyn. Syst. 22, 42-86 (2020). Reviewer: Kaveh Eftekharinasab (Kyiv) MSC: 58B25 18A30 22E65 53C15 PDFBibTeX XMLCite \textit{P. Cabau} and \textit{F. Pelletier}, Differ. Geom. Dyn. Syst. 22, 42--86 (2020; Zbl 1448.58004) Full Text: arXiv Link
McRae, Robert On the tensor structure of modules for compact orbifold vertex operator algebras. (English) Zbl 1453.17017 Math. Z. 296, No. 1-2, 409-452 (2020). Reviewer: Theo Johnson-Freyd (Waterloo) MSC: 17B69 18M05 20C35 81R10 PDFBibTeX XMLCite \textit{R. McRae}, Math. Z. 296, No. 1--2, 409--452 (2020; Zbl 1453.17017) Full Text: DOI arXiv
González, Nicolle S. Categorical Bernstein operators and the Boson-Fermion correspondence. (English) Zbl 1458.17013 Sel. Math., New Ser. 26, No. 4, Paper No. 51, 64 p. (2020). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B65 05E05 17B68 17B69 18G35 22E65 PDFBibTeX XMLCite \textit{N. S. González}, Sel. Math., New Ser. 26, No. 4, Paper No. 51, 64 p. (2020; Zbl 1458.17013) Full Text: DOI arXiv
Coquereaux, Robert Theta functions for lattices of \(\mathrm{SU}(3)\) hyper-roots. (English) Zbl 1482.11068 Exp. Math. 29, No. 2, 137-162 (2020). Reviewer: Matthew Krauel (Sacramento) MSC: 11F22 22E46 11F27 17B10 18M20 52C07 81R10 81T40 PDFBibTeX XMLCite \textit{R. Coquereaux}, Exp. Math. 29, No. 2, 137--162 (2020; Zbl 1482.11068) Full Text: DOI arXiv
Cabau, Patrick; Pelletier, Fernand Integrability on direct limits of Banach manifolds. (English. French summary) Zbl 1446.58002 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 909-956 (2019). Reviewer: Luen-Chau Li (University Park) MSC: 58A30 18A30 46T05 17B66 37K30 22E65 PDFBibTeX XMLCite \textit{P. Cabau} and \textit{F. Pelletier}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 909--956 (2019; Zbl 1446.58002) Full Text: DOI arXiv
Lampret, Leon; Vavpetič, Aleš Torsion table for the Lie algebra \(\mathfrak{nil}_n\). (English) Zbl 1446.17032 Commun. Algebra 47, No. 9, 3567-3578 (2019). MSC: 17B56 17B30 05E16 13P20 13D02 18G35 58E05 PDFBibTeX XMLCite \textit{L. Lampret} and \textit{A. Vavpetič}, Commun. Algebra 47, No. 9, 3567--3578 (2019; Zbl 1446.17032) Full Text: DOI arXiv
Pelletier, Fernand; Cabau, Patrick Convenient partial Poisson manifolds. (English) Zbl 1414.53074 J. Geom. Phys. 136, 173-194 (2019). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 18A30 46T05 17B66 37K30 22E65 PDFBibTeX XMLCite \textit{F. Pelletier} and \textit{P. Cabau}, J. Geom. Phys. 136, 173--194 (2019; Zbl 1414.53074) Full Text: DOI arXiv
Cautis, Sabin; Lauda, Aaron D.; Licata, Anthony M.; Samuelson, Peter; Sussan, Joshua The elliptic Hall algebra and the deformed Khovanov Heisenberg category. (English) Zbl 1402.81172 Sel. Math., New Ser. 24, No. 5, 4041-4103 (2018). MSC: 81R10 20C08 17B65 18D10 17B40 81R50 17B37 PDFBibTeX XMLCite \textit{S. Cautis} et al., Sel. Math., New Ser. 24, No. 5, 4041--4103 (2018; Zbl 1402.81172) Full Text: DOI arXiv
Cautis, Sabin; Lauda, Aaron D.; Licata, Anthony M.; Sussan, Joshua W-algebras from Heisenberg categories. (English) Zbl 1405.81045 J. Inst. Math. Jussieu 17, No. 5, 981-1017 (2018). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81R10 20C08 17B65 18D10 16E40 30H20 PDFBibTeX XMLCite \textit{S. Cautis} et al., J. Inst. Math. Jussieu 17, No. 5, 981--1017 (2018; Zbl 1405.81045) Full Text: DOI arXiv
Huang, Yi-Zhi Affine Lie algebras and tensor categories. arXiv:1811.05123 Preprint, arXiv:1811.05123 [math.QA] (2018). MSC: 17B67 81R10 18D10 17B69 81T40 BibTeX Cite \textit{Y.-Z. Huang}, ``Affine Lie algebras and tensor categories'', Preprint, arXiv:1811.05123 [math.QA] (2018) Full Text: arXiv OA License
Hristova, Elitza; Penkov, Ivan Decomposition of cohomology of vector bundles on homogeneous ind-spaces. (English) Zbl 1399.22017 C. R. Acad. Bulg. Sci. 70, No. 7, 907-916 (2017). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 22E65 17B65 20G05 55N30 18G05 PDFBibTeX XMLCite \textit{E. Hristova} and \textit{I. Penkov}, C. R. Acad. Bulg. Sci. 70, No. 7, 907--916 (2017; Zbl 1399.22017) Full Text: arXiv
Bertram, Wolfgang Lie calculus. (English) Zbl 1431.18006 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, 59-85 (2017). MSC: 18F15 20L05 22E65 39A12 58C20 97I40 PDFBibTeX XMLCite \textit{W. Bertram}, Banach Cent. Publ. 113, 59--85 (2017; Zbl 1431.18006) Full Text: DOI arXiv
Lee, Chul-hee Positivity and periodicity of \(Q\)-systems in the WZW fusion ring. (English) Zbl 1403.17026 Adv. Math. 311, 532-568 (2017). Reviewer: Robert McRae (Nashville) MSC: 17B67 17B37 18D10 81R10 81R50 PDFBibTeX XMLCite \textit{C.-h. Lee}, Adv. Math. 311, 532--568 (2017; Zbl 1403.17026) Full Text: DOI arXiv
Schopieray, Andrew Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories. (English) Zbl 1374.18014 Commun. Math. Phys. 353, No. 3, 1103-1127 (2017). Reviewer: Robert McRae (Nashville) MSC: 18D10 17B67 17B37 81R10 PDFBibTeX XMLCite \textit{A. Schopieray}, Commun. Math. Phys. 353, No. 3, 1103--1127 (2017; Zbl 1374.18014) Full Text: DOI arXiv
Rosso, Daniele; Savage, Alistair A general approach to Heisenberg categorification via wreath product algebras. (English) Zbl 1366.18006 Math. Z. 286, No. 1-2, 603-655 (2017). Reviewer: Robert McRae (Nashville) MSC: 18D10 17B10 17B37 17B65 19A22 PDFBibTeX XMLCite \textit{D. Rosso} and \textit{A. Savage}, Math. Z. 286, No. 1--2, 603--655 (2017; Zbl 1366.18006) Full Text: DOI arXiv
Markarian, Nikita Weyl \(n\)-algebras. (English) Zbl 1360.58018 Commun. Math. Phys. 350, No. 2, 421-442 (2017). Reviewer: Sonia Natale (Córdoba) MSC: 58J28 57T99 17B55 18D50 81R10 PDFBibTeX XMLCite \textit{N. Markarian}, Commun. Math. Phys. 350, No. 2, 421--442 (2017; Zbl 1360.58018) Full Text: DOI arXiv
Neretin, Yury A. On the Weil representation of infinite-dimensional symplectic group over a finite field. arXiv:1703.07238 Preprint, arXiv:1703.07238 [math.RT] (2017). MSC: 22E66 22A25 20C33 18B10 BibTeX Cite \textit{Y. A. Neretin}, ``On the Weil representation of infinite-dimensional symplectic group over a finite field'', Preprint, arXiv:1703.07238 [math.RT] (2017) Full Text: arXiv OA License
Schmeding, Alexander; Wockel, Christoph Functorial aspects of the reconstruction of Lie groupoids from their bisections. (English) Zbl 1416.58009 J. Aust. Math. Soc. 101, No. 2, 253-276 (2016). MSC: 58H05 18A40 18C15 22E65 PDFBibTeX XMLCite \textit{A. Schmeding} and \textit{C. Wockel}, J. Aust. Math. Soc. 101, No. 2, 253--276 (2016; Zbl 1416.58009) Full Text: DOI arXiv
Costello, Kevin; Gwilliam, Owen Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004 New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-00-900616-3/set; 978-1-316-67862-6/ebook). ix, 387 p. (2016). Reviewer: Albert Sheu (Lawrence) MSC: 81-02 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 16E45 47A68 18G35 18F20 17-02 PDFBibTeX XMLCite \textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004) Full Text: DOI
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming; Chen, Zhiqi Left-symmetric algebroids. (English) Zbl 1354.18003 Math. Nachr. 289, No. 14-15, 1893-1908 (2016). Reviewer: Friedrich Wagemann (Nantes) MSC: 18B40 17B65 PDFBibTeX XMLCite \textit{J. Liu} et al., Math. Nachr. 289, No. 14--15, 1893--1908 (2016; Zbl 1354.18003) Full Text: DOI arXiv
Wang, Na The realizations of Lie algebra \(gl(\infty)\) and tau functions in homotopy category. (English) Zbl 1406.81045 Int. J. Mod. Phys. A 31, No. 18, Article ID 1650105, 17 p. (2016). MSC: 81R10 17B81 18D10 PDFBibTeX XMLCite \textit{N. Wang}, Int. J. Mod. Phys. A 31, No. 18, Article ID 1650105, 17 p. (2016; Zbl 1406.81045) Full Text: DOI
Hill, David; Sussan, Joshua A categorification of twisted Heisenberg algebras. (English) Zbl 1405.17017 Adv. Math. 295, 368-420 (2016). MSC: 17B10 17B37 17B65 18D10 PDFBibTeX XMLCite \textit{D. Hill} and \textit{J. Sussan}, Adv. Math. 295, 368--420 (2016; Zbl 1405.17017) Full Text: DOI arXiv
Beltiţă, Daniel; Galé, José E. Coherent state map quantization in a Hermitian-like setting. (English) Zbl 1337.46022 J. Geom. Phys. 92, 100-118 (2015). MSC: 46E22 22E66 47B32 46L05 18A05 53C99 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{J. E. Galé}, J. Geom. Phys. 92, 100--118 (2015; Zbl 1337.46022) Full Text: DOI
Cautis, Sabin; Licata, Anthony; Sussan, Joshua Braid group actions via categorified Heisenberg complexes. (English) Zbl 1342.17014 Compos. Math. 150, No. 1, 105-142 (2014). MSC: 17B65 18G10 20F36 PDFBibTeX XMLCite \textit{S. Cautis} et al., Compos. Math. 150, No. 1, 105--142 (2014; Zbl 1342.17014) Full Text: DOI arXiv
Khovanov, Mikhail Heisenberg algebra and a graphical calculus. (English) Zbl 1304.18019 Fundam. Math. 225, 169-210 (2014). MSC: 18D10 17B65 19A22 PDFBibTeX XMLCite \textit{M. Khovanov}, Fundam. Math. 225, 169--210 (2014; Zbl 1304.18019) Full Text: DOI arXiv
Tsuchiya, Akihiro; Wood, Simon The tensor structure on the representation category of the \(\mathcal {W}_p\) triplet algebra. (English) Zbl 1290.81143 J. Phys. A, Math. Theor. 46, No. 44, Article ID 445203, 40 p. (2013). Reviewer: Dražen Adamović (Zagreb) MSC: 18D10 17B15 17B69 81R05 81R10 PDFBibTeX XMLCite \textit{A. Tsuchiya} and \textit{S. Wood}, J. Phys. A, Math. Theor. 46, No. 44, Article ID 445203, 40 p. (2013; Zbl 1290.81143) Full Text: DOI arXiv
Moskaliuk, N. M.; Moskaliuk, S. S. Category of trees in representation theory of quantum algebras. (English) Zbl 1386.18011 Algebras Groups Geom. 29, No. 3, 247-274 (2012). MSC: 18B99 16T20 17B10 81R05 81R10 81R50 PDFBibTeX XMLCite \textit{N. M. Moskaliuk} and \textit{S. S. Moskaliuk}, Algebras Groups Geom. 29, No. 3, 247--274 (2012; Zbl 1386.18011)
Burban, Igor; Schiffmann, Olivier On the Hall algebra of an elliptic curve. I. (English) Zbl 1286.16029 Duke Math. J. 161, No. 7, 1171-1231 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16T05 14F05 14H52 17B37 22E65 16G20 16T20 18E30 PDFBibTeX XMLCite \textit{I. Burban} and \textit{O. Schiffmann}, Duke Math. J. 161, No. 7, 1171--1231 (2012; Zbl 1286.16029) Full Text: DOI arXiv Euclid
Galé, J. E. Towards the geometry of reproducing kernel. (English) Zbl 1257.22016 Kielanowski, Piotr (ed.) et al., XXIX workshop on geometric methods in physics, Białowieża, Poland, June 27 – July 3, 2010. Selected papers based on the presentations at the workshop. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0861-6/hbk). AIP Conference Proceedings 1307, 68-82 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E25 46E22 53C15 18B99 PDFBibTeX XMLCite \textit{J. E. Galé}, AIP Conf. Proc. 1307, 68--82 (2010; Zbl 1257.22016)
Shojaei-Fard, Ali Riemann-Hilbert Problem and Quantum Field Theory: Integrable Renormalization, Dyson-Schwinger Equations. arXiv:1011.3290 Preprint, arXiv:1011.3290 [math-ph] (2010). MSC: 05C05 83C47 18D50 05E05 22E65 37K25 37K30 35Q15 81T15 BibTeX Cite \textit{A. Shojaei-Fard}, ``Riemann-Hilbert Problem and Quantum Field Theory: Integrable Renormalization, Dyson-Schwinger Equations'', Preprint, arXiv:1011.3290 [math-ph] (2010) Full Text: arXiv OA License
Huebschmann, Johannes Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras. (English) Zbl 1182.22003 Lett. Math. Phys. 90, No. 1-3, 201-251 (2009). Reviewer: Benjamin Cahen (Metz) MSC: 22A22 55N91 58H05 14F40 17B65 17B66 18C15 18G10 22E65 PDFBibTeX XMLCite \textit{J. Huebschmann}, Lett. Math. Phys. 90, No. 1--3, 201--251 (2009; Zbl 1182.22003) Full Text: DOI arXiv
Shojaei-Fard, Ali Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees. arXiv:0909.3262 Preprint, arXiv:0909.3262 [math-ph] (2009). MSC: 83C47 22E65 05C05 05E05 18D50 81T15 35Q15 BibTeX Cite \textit{A. Shojaei-Fard}, ``Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees'', Preprint, arXiv:0909.3262 [math-ph] (2009) Full Text: arXiv OA License
Naidu, Deepak; Nikshych, Dmitri Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups. (English) Zbl 1139.16028 Commun. Math. Phys. 279, No. 3, 845-872 (2008). MSC: 16W30 17B37 18D10 22E65 PDFBibTeX XMLCite \textit{D. Naidu} and \textit{D. Nikshych}, Commun. Math. Phys. 279, No. 3, 845--872 (2008; Zbl 1139.16028) Full Text: DOI arXiv
Kanakoglou, K.; Daskaloyannis, C. Variants of bosonization in parabosonic algebra: the Hopf and super-Hopf structures in parabosonic algebra. (English) Zbl 1135.16045 J. Phys. A, Math. Theor. 41, No. 10, Article ID 105203, 18 p. (2008). MSC: 16W30 17B60 81R10 18D10 57T05 16W55 81S05 PDFBibTeX XMLCite \textit{K. Kanakoglou} and \textit{C. Daskaloyannis}, J. Phys. A, Math. Theor. 41, No. 10, Article ID 105203, 18 p. (2008; Zbl 1135.16045) Full Text: DOI arXiv
Chen, Zhuo; Qi, Yuhai On the \(\mathcal A\)-extended Lie-Rinehart algebras. (English) Zbl 1150.17020 Chin. Q. J. Math. 22, No. 3, 317-327 (2007). MSC: 17B60 17B65 18B40 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Y. Qi}, Chin. Q. J. Math. 22, No. 3, 317--327 (2007; Zbl 1150.17020)
Blanchet, Christian A spin decomposition of the verlinde formulas for type A modular categories. (English) Zbl 1079.81061 Commun. Math. Phys. 257, No. 1, 1-28 (2005). MSC: 81T45 18D10 22E70 81R10 PDFBibTeX XMLCite \textit{C. Blanchet}, Commun. Math. Phys. 257, No. 1, 1--28 (2005; Zbl 1079.81061) Full Text: DOI arXiv
Vorobiev, Yuri On Poisson realizations of transitive Lie algebroids. (English) Zbl 1362.17047 J. Nonlinear Math. Phys. 11, Suppl. 1, 43-48 (2004). MSC: 17B65 18B40 PDFBibTeX XMLCite \textit{Y. Vorobiev}, J. Nonlinear Math. Phys. 11, 43--48 (2004; Zbl 1362.17047) Full Text: DOI
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph Lie algebras, Fuchsian differential equations and CFT correlation functions. (English) Zbl 1056.81034 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 115-129 (2004). Reviewer: Igor Potemine (Toulouse) MSC: 81R10 81T40 18D10 32G34 33C80 22E70 37F30 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Contemp. Math. 343, 115--129 (2004; Zbl 1056.81034) Full Text: arXiv
Adem, Alejandro; Milgram, R. James Cohomology of finite groups. 2nd ed. (English) Zbl 1061.20044 Grundlehren der Mathematischen Wissenschaften 309. Berlin: Springer (ISBN 3-540-20283-8/hbk). viii, 324 p. (2004). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 20J06 20-02 20J05 55R35 55R40 18G40 20C20 19A22 20C05 16K40 18G10 PDFBibTeX XMLCite \textit{A. Adem} and \textit{R. J. Milgram}, Cohomology of finite groups. 2nd ed. Berlin: Springer (2004; Zbl 1061.20044)
Smithies, Laura Equivariant analytic localization of group representations. (English) Zbl 0984.22015 Mem. Am. Math. Soc. 728, x, 90 p. (2001). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E46 18B40 PDFBibTeX XMLCite \textit{L. Smithies}, Equivariant analytic localization of group representations. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0984.22015) Full Text: DOI
Bakalov, B.; Kirillov, A. jun. Lectures on tensor categories and modular functors. (English) Zbl 0965.18002 University Lecture Series. 21. Providence, RI: American Mathematical Society (AMS). x, 221 p. (2001). Reviewer: Werner Kleinert (Berlin) MSC: 18-02 57-02 81-02 18D10 81T40 57R56 81T45 57M27 81R10 81R50 17B67 17B37 PDFBibTeX XMLCite \textit{B. Bakalov} and \textit{A. Kirillov jun.}, Lectures on tensor categories and modular functors. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0965.18002)
Lychagin, V. Calculus and quantizations over Hopf algebras. (English) Zbl 0914.18007 Acta Appl. Math. 51, No. 3, 303-352 (1998). Reviewer: R.H.Street (North Ryde) MSC: 18D20 37J35 37K10 35A99 58J99 81R50 16W30 58A50 35Q53 PDFBibTeX XMLCite \textit{V. Lychagin}, Acta Appl. Math. 51, No. 3, 303--352 (1998; Zbl 0914.18007) Full Text: DOI arXiv
Shafarevich, I. R. Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. (English) Zbl 0860.16001 Berlin: Springer. 258 p. (1997). MSC: 16-02 17-02 20-02 11-02 18-02 19-02 22-02 PDFBibTeX XMLCite \textit{I. R. Shafarevich}, Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Berlin: Springer (1997; Zbl 0860.16001)
Adem, Alejandro; Milgram, R. James Cohomology of finite groups. (English) Zbl 0820.20060 Grundlehren der Mathematischen Wissenschaften. 309. Berlin: Springer-Verlag. viii, 327 p. DM 128.00; öS 998.00; sFr 128.00/hbk (1994). Reviewer: U.Stammbach (Zürich) MSC: 20J06 20-02 20J05 55R35 55R40 18G40 20C20 19A22 20C05 16K40 18G10 PDFBibTeX XMLCite \textit{A. Adem} and \textit{R. J. Milgram}, Cohomology of finite groups. Berlin: Springer (1994; Zbl 0820.20060)
Pestov, Vladimir G. Universal arrows to forgetful functors from categories of topological algebra. (English) Zbl 0784.18002 Bull. Aust. Math. Soc. 48, No. 2, 209-249 (1993). Reviewer: Vladimir G. Pestov (Novosibirsk) MSC: 18A40 22A05 46A03 15A75 17B01 22E65 43A40 46H20 54B30 46M15 PDFBibTeX XMLCite \textit{V. G. Pestov}, Bull. Aust. Math. Soc. 48, No. 2, 209--249 (1993; Zbl 0784.18002) Full Text: DOI arXiv
Shafarevich, I. R. Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. (English) Zbl 0711.16001 Encyclopaedia of Mathematical Sciences, 11. Berlin etc.: Springer-Verlag. 258 p. (1990). Reviewer: Bernd Richter (Berlin) MSC: 16-02 17-02 20-02 11-02 18-02 19-02 22-02 PDFBibTeX XML
Vaserstein, L. N. Normal subgroups of classical groups over rings and gauge groups. (English) Zbl 0676.20025 Algebraic \(K\)-theory and algebraic number theory, Proc. Semin., Honolulu/Hawaii 1987, Contemp. Math. 83, 451-459 (1989). Reviewer: E.Abe MSC: 20G35 20H25 20E07 18F25 22E65 PDFBibTeX XML
Douglas, R. R.; Rutherford, A. R. Berry phase and compact transformation groups. (English) Zbl 0641.57018 Mathematical quantum field theory and related topics, Proc. Conf., Montreal/Can. 1987, CMS Conf. Proc. 9, 253-260 (1988). Reviewer: R.R.Douglas MSC: 57T20 57S15 81R10 22E70 18D99 57T15 PDFBibTeX XML
Zajtz, A. Actions of some infinite Lie groups. (English) Zbl 0648.57018 Aequationes Math. 34, 139-146 (1987). Reviewer: M.Craioveanu MSC: 57S99 22E65 18F99 PDFBibTeX XMLCite \textit{A. Zajtz}, Aequationes Math. 34, 139--146 (1987; Zbl 0648.57018) Full Text: DOI EuDML
Johnson, Joseph A generalized global differential calculus. II: Application to invariance under a Lie group. (English) Zbl 0613.58004 Cah. Topologie Géom. Différ. Catég. 27, No. 4, 89-105 (1986). Reviewer: P.Cheremack MSC: 58B25 22E20 18F15 PDFBibTeX XMLCite \textit{J. Johnson}, Cah. Topologie Géom. Différ. Catégoriques 27, No. 4, 89--105 (1986; Zbl 0613.58004) Full Text: Numdam EuDML
Quesne, C. Complementarity relation between the U(p,q) and U(n) Lie groups and some applications to atomic physics. (English) Zbl 0609.22012 J. Phys. A 19, 2689-2706 (1986). MSC: 22E70 81R10 18G40 PDFBibTeX XMLCite \textit{C. Quesne}, J. Phys. A, Math. Gen. 19, 2689--2706 (1986; Zbl 0609.22012) Full Text: DOI
Feĭgin, B. L.; Tsygan, B. L. Additive \(K\)-theory and crystalline cohomology. (English. Russian original) Zbl 0585.18007 Funct. Anal. Appl. 19, 124-132 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 52-62 (1985). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 19K99 19K33 19K35 18F25 46M15 46M20 14F30 17B56 46L80 22E41 18G10 55N15 55R40 55R45 16W50 57R32 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{B. L. Tsygan}, Funct. Anal. Appl. 19, 124--132 (1985; Zbl 0585.18007); translation from Funkts. Anal. Prilozh. 19, No. 2, 52--62 (1985) Full Text: DOI
Hiller, Howard Affine Lie algebras and algebraic K-theory. (English) Zbl 0518.17005 Algebraic \(K\)-theory, Proc. Conf., Oberwolfach 1980, Part I, Lect. Notes Math. 966, 91-107 (1982). MSC: 17B65 18F25 17B55 PDFBibTeX XML
Roger, Claude Sur la cohomologie de l’algèbre de Lie des champs de vecteurs de contact formels. (French) Zbl 0467.58027 C. R. Acad. Sci., Paris, Sér. I 292, 893-896 (1981). MSC: 58H10 57R32 17B56 22E65 17B65 18G40 PDFBibTeX XMLCite \textit{C. Roger}, C. R. Acad. Sci., Paris, Sér. I 292, 893--896 (1981; Zbl 0467.58027)
Yanchevskij, V. I. Reduced unitary Whitehead groups and noncommutative rational functions. (English. Russian original) Zbl 0789.16007 Selected papers in \(K\)-theory. Transl., Ser. 2, Am. Math. Soc. 154, 63-67 (1992); translation from Dokl. Akad. Nauk BSSR 24, 588-591 (1980). MSC: 16E20 16K40 16S36 18F25 16W10 PDFBibTeX XML
Kock, Anders Differential forms with values in groups. (English) Zbl 0446.58001 Prepr. Ser., Aarhus Univ. 1980/81, No. 5, 39 p. (1980). MSC: 58A10 18F15 53C05 58D05 12H20 58A30 12H05 17B65 22E65 PDFBibTeX XML
Haefliger, Andre Differentiable cohomology. (English) Zbl 0467.57007 Differential topology, C.I.M.E., Varenna 1976, 21-70 (1979). MSC: 57R32 17B65 55N30 22E65 17B56 55R40 20J05 57T15 55T05 18G40 PDFBibTeX XML
Tsujishita, Toru On the continuous cohomology of the Lie algebra of vector fields associated with non-trivial coefficients. (English) Zbl 0406.57014 Semin. Rep.: Global analysis, RIMS, Kyoto 1976, 1-12 (1977). MSC: 57R32 17B56 17B65 18G40 55T99 58D05 PDFBibTeX XML
Chen, Su-Shing; Yoh, Richard W. The category of generalized Lie groups. (English) Zbl 0291.22003 Trans. Am. Math. Soc. 199, 281-294 (1974). MSC: 22A05 22E65 17B60 18A30 46H99 PDFBibTeX XMLCite \textit{S.-S. Chen} and \textit{R. W. Yoh}, Trans. Am. Math. Soc. 199, 281--294 (1974; Zbl 0291.22003) Full Text: DOI