Beltiţă, Daniel; Galé, José E. Infinitesimal aspects of idempotents in Banach algebras. (English) Zbl 1449.46036 Jaming, Philippe (ed.) et al., Harmonic analysis, function theory, operator theory, and their applications. Proceedings of the international conference in honour of Jean Esterle, Bordeaux, France, June 1–4, 2015. Editor list corrected in erratum. Bucharest: The Theta Foundation. Theta Ser. Adv. Math. 19, 43-69 (2017). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 46H05 22F30 22E65 46M20 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{J. E. Galé}, Theta Ser. Adv. Math. 19, 43--69 (2017; Zbl 1449.46036) Full Text: arXiv
Friedl, Stefan; Maxim, Laurentiu; Suciu, Alexander I. Mini-workshop: Interactions between low-dimensional topology and complex algebraic geometry. Abstracts from the mini-workshop held October 22–28, 2017. (English) Zbl 1409.00089 Oberwolfach Rep. 14, No. 4, 2987-3033 (2017). MSC: 00B05 00B25 20J05 55N25 57M07 14M27 20F40 32E10 32S22 55P62 55R80 55U30 57-06 14-06 20-06 PDFBibTeX XMLCite \textit{S. Friedl} et al., Oberwolfach Rep. 14, No. 4, 2987--3033 (2017; Zbl 1409.00089) Full Text: DOI
Hurle, Benedikt; Makhlouf, Abdenacer Color Lie bialgebras: big bracket, cohomology and deformations. (English) Zbl 1471.17052 Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2015, Monastir, Tunisia, December 18–23, 2015. Cham: Springer. Springer Proc. Math. Stat. 207, 69-115 (2017). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 17B75 17B62 17B56 PDFBibTeX XMLCite \textit{B. Hurle} and \textit{A. Makhlouf}, Springer Proc. Math. Stat. 207, 69--115 (2017; Zbl 1471.17052) Full Text: DOI
Cao Tran Tu Hai; Minh Thanh Duong; Le Anh Vu The second cohomology group of elementary quadratic Lie superalgebras. (English) Zbl 1419.17027 East-West J. Math. 19, No. 1, 32-42 (2017). MSC: 17B56 17B60 PDFBibTeX XMLCite \textit{Cao Tran Tu Hai} et al., East-West J. Math. 19, No. 1, 32--42 (2017; Zbl 1419.17027)
Huang, Jing-Song Dirac cohomology in representation theory. (English) Zbl 1385.22005 Callegaro, Filippo (ed.) et al., Perspectives in Lie theory. Selected papers based on the presentations at the INdAM intensive research period, Pisa, Italy, December 2014 – February 2015. Cham: Springer (ISBN 978-3-319-58970-1/hbk; 978-3-319-58971-8/ebook). Springer INdAM Series 19, 299-314 (2017). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E47 22E46 PDFBibTeX XMLCite \textit{J.-S. Huang}, Springer INdAM Ser. 19, 299--314 (2017; Zbl 1385.22005) Full Text: DOI
Kruglikov, Boris; Winther, Henrik Reconstruction from representations: Jacobi via cohomology. (English) Zbl 1430.17059 J. Lie Theory 27, No. 4, 1141-1150 (2017). MSC: 17B55 22E47 17B05 22F30 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{H. Winther}, J. Lie Theory 27, No. 4, 1141--1150 (2017; Zbl 1430.17059) Full Text: arXiv Link
Liu, Jiefeng; Makhlouf, Abdenacer; Sheng, Yunhe A new approach to representations of 3-Lie algebras and abelian extensions. (English) Zbl 1430.17011 Algebr. Represent. Theory 20, No. 6, 1415-1431 (2017). MSC: 17A42 17B10 17B56 PDFBibTeX XMLCite \textit{J. Liu} et al., Algebr. Represent. Theory 20, No. 6, 1415--1431 (2017; Zbl 1430.17011) Full Text: DOI arXiv
Lampret, Leon; Vavpetič, Aleš (Co)homology of poset Lie algebras. (English) Zbl 1433.17026 Homology Homotopy Appl. 19, No. 2, 1-20 (2017). MSC: 17B56 17B30 18G35 58E05 PDFBibTeX XMLCite \textit{L. Lampret} and \textit{A. Vavpetič}, Homology Homotopy Appl. 19, No. 2, 1--20 (2017; Zbl 1433.17026) Full Text: DOI arXiv
Suárez-Álvarez, Mariano A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket. (English) Zbl 1392.16009 J. Pure Appl. Algebra 221, No. 8, 1981-1998 (2017). MSC: 16E40 16W25 16E30 PDFBibTeX XMLCite \textit{M. Suárez-Álvarez}, J. Pure Appl. Algebra 221, No. 8, 1981--1998 (2017; Zbl 1392.16009) Full Text: DOI arXiv Link
Prlić, Ana The centralizer of \(K\) in \(U(\mathfrak{g})\otimes C(\mathfrak{p})\) for the group \(\mathrm{SO}_e(4,1)\). (English) Zbl 1501.22005 Glas. Mat., III. Ser. 52, No. 2, 275-288 (2017). MSC: 22E47 22E46 PDFBibTeX XMLCite \textit{A. Prlić}, Glas. Mat., III. Ser. 52, No. 2, 275--288 (2017; Zbl 1501.22005) Full Text: DOI arXiv
Bennis, Driss; Fahid, Brahim Derivations and the first cohomology group of trivial extension algebras. (English) Zbl 1373.16022 Mediterr. J. Math. 14, No. 4, Paper No. 150, 18 p. (2017). MSC: 16E40 16W25 16S20 PDFBibTeX XMLCite \textit{D. Bennis} and \textit{B. Fahid}, Mediterr. J. Math. 14, No. 4, Paper No. 150, 18 p. (2017; Zbl 1373.16022) Full Text: DOI arXiv
Hố, Q. P. Free factorization algebras and homology of configuration spaces in algebraic geometry. (English) Zbl 1422.55030 Sel. Math., New Ser. 23, No. 4, 2437-2489 (2017). MSC: 55R80 14A20 14F05 17B56 18G55 81R99 PDFBibTeX XMLCite \textit{Q. P. Hố}, Sel. Math., New Ser. 23, No. 4, 2437--2489 (2017; Zbl 1422.55030) Full Text: DOI arXiv Link
Rezaei-Aghdam, A.; Sedghi-Ghadim, L. 3-Leibniz bialgebras (3-Lie bialgebras). (English) Zbl 1400.17003 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750142, 27 p. (2017). MSC: 17A32 17A40 17B56 17B60 17B80 PDFBibTeX XMLCite \textit{A. Rezaei-Aghdam} and \textit{L. Sedghi-Ghadim}, Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750142, 27 p. (2017; Zbl 1400.17003) Full Text: DOI arXiv
Kaygun, Atabey; Sütlü, Serkan A characteristic map for compact quantum groups. (English) Zbl 1384.46051 J. Homotopy Relat. Struct. 12, No. 3, 549-576 (2017). MSC: 46L89 17B37 16T20 57T10 PDFBibTeX XMLCite \textit{A. Kaygun} and \textit{S. Sütlü}, J. Homotopy Relat. Struct. 12, No. 3, 549--576 (2017; Zbl 1384.46051) Full Text: DOI arXiv
Agarwala, Adhip; Haldar, Arijit; Shenoy, Vijay B. The tenfold way redux: Fermionic systems with \(N\)-body interactions. (English) Zbl 1372.81177 Ann. Phys. 385, 469-511 (2017). MSC: 81V70 81R05 17B81 22E70 81R15 PDFBibTeX XMLCite \textit{A. Agarwala} et al., Ann. Phys. 385, 469--511 (2017; Zbl 1372.81177) Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr Some homological properties of category \(\mathcal{O}\). IV. (English) Zbl 1454.16006 Forum Math. 29, No. 5, 1083-1124 (2017). MSC: 16E30 17B10 16E10 17B56 PDFBibTeX XMLCite \textit{K. Coulembier} and \textit{V. Mazorchuk}, Forum Math. 29, No. 5, 1083--1124 (2017; Zbl 1454.16006) Full Text: DOI arXiv
Toën, Bertrand Problems of formal modules. (Problèmes de modules formels.) (French) Zbl 1401.14028 Séminaire Bourbaki. Volume 2015/2016. Exposés 1104–1119. Avec table par noms d’auteurs de 1948/49 à 2015/16. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-855-8/pbk). Astérisque 390, 199-244, Exp. No. 1111 (2017). MSC: 14B12 14F05 17B56 18G99 PDFBibTeX XMLCite \textit{B. Toën}, Astérisque 390, 199--244, Exp. No. 1111 (2017; Zbl 1401.14028)
García-Rodríguez, Javier; Jaikin-Zapirain, Andrei; Jezernik, Urban Units of group rings, the Bogomolov multiplier and the fake degree conjecture. (English) Zbl 1383.20005 Math. Proc. Camb. Philos. Soc. 163, No. 1, 115-123 (2017). Reviewer: János Kurdics (Nyíregyháza) MSC: 20C05 20G40 16P10 18F25 19B28 20C20 20C25 20D15 PDFBibTeX XMLCite \textit{J. García-Rodríguez} et al., Math. Proc. Camb. Philos. Soc. 163, No. 1, 115--123 (2017; Zbl 1383.20005) Full Text: DOI arXiv
Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism. (English) Zbl 1406.16014 J. Eur. Math. Soc. (JEMS) 19, No. 9, 2811-2893 (2017). MSC: 16G99 17B56 17B63 18G55 16E40 16E45 53D30 16B50 PDFBibTeX XMLCite \textit{Y. Berest} et al., J. Eur. Math. Soc. (JEMS) 19, No. 9, 2811--2893 (2017; Zbl 1406.16014) Full Text: DOI arXiv
Ibraev, Sh. Sh. On the second cohomology of an algebraic group and of its Lie algebra in a positive characteristic. (English. Russian original) Zbl 1375.20050 Math. Notes 101, No. 5, 841-849 (2017); translation from Mat. Zametki 101, No. 5, 723-732 (2017). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 20G10 17B45 17B56 PDFBibTeX XMLCite \textit{Sh. Sh. Ibraev}, Math. Notes 101, No. 5, 841--849 (2017; Zbl 1375.20050); translation from Mat. Zametki 101, No. 5, 723--732 (2017) Full Text: DOI
Adashev, J. Q.; Ladra, M.; Omirov, B. A. Solvable Leibniz algebras with naturally graded non-Lie \(p\)-filiform nilradicals. (English) Zbl 1427.17005 Commun. Algebra 45, No. 10, 4329-4347 (2017). MSC: 17A32 17A36 17B30 17B56 PDFBibTeX XMLCite \textit{J. Q. Adashev} et al., Commun. Algebra 45, No. 10, 4329--4347 (2017; Zbl 1427.17005) Full Text: DOI arXiv
Chebochko, N. G.; Kuznetsov, M. I. Integrable cocycles and global deformations of Lie algebra of type \(G_2\) in characteristic \(2\). (English) Zbl 1427.17031 Commun. Algebra 45, No. 7, 2969-2977 (2017). MSC: 17B50 17B56 17B66 17B20 17B25 PDFBibTeX XMLCite \textit{N. G. Chebochko} and \textit{M. I. Kuznetsov}, Commun. Algebra 45, No. 7, 2969--2977 (2017; Zbl 1427.17031) Full Text: DOI
Shu, Bin; Yao, Yu-Feng On cohomology of a class of nonclassical restricted simple Lie algebras. (English) Zbl 1425.17027 J. Algebra Appl. 16, No. 8, Article ID 1750157, 13 p. (2017). MSC: 17B50 17B56 17B70 PDFBibTeX XMLCite \textit{B. Shu} and \textit{Y.-F. Yao}, J. Algebra Appl. 16, No. 8, Article ID 1750157, 13 p. (2017; Zbl 1425.17027) Full Text: DOI
Charbonnel, Jean-Yves On a variety related to the commuting variety of a reductive Lie algebra. (English) Zbl 1375.14008 Algebr. Represent. Theory 20, No. 3, 583-627 (2017). Reviewer: Wen-Wei Li (Beijing) MSC: 14A10 14L17 22E20 22E46 PDFBibTeX XMLCite \textit{J.-Y. Charbonnel}, Algebr. Represent. Theory 20, No. 3, 583--627 (2017; Zbl 1375.14008) Full Text: DOI arXiv
Bardakov, Valeriy G.; Singh, Mahender Extensions and automorphisms of Lie algebras. (English) Zbl 1419.17025 J. Algebra Appl. 16, No. 9, Article ID 1750162, 15 p. (2017). MSC: 17B40 17B56 17B01 13N15 PDFBibTeX XMLCite \textit{V. G. Bardakov} and \textit{M. Singh}, J. Algebra Appl. 16, No. 9, Article ID 1750162, 15 p. (2017; Zbl 1419.17025) Full Text: DOI arXiv
Berest, Yuri; Ramadoss, Ajay C.; Zhang, Yining Dual Hodge decompositions and derived Poisson brackets. (English) Zbl 1373.16023 Sel. Math., New Ser. 23, No. 3, 2029-2070 (2017). Reviewer: Aurelien Djament (Nantes) MSC: 16E40 16E45 17B55 17B63 19D55 55P50 18G55 55P62 PDFBibTeX XMLCite \textit{Y. Berest} et al., Sel. Math., New Ser. 23, No. 3, 2029--2070 (2017; Zbl 1373.16023) Full Text: DOI arXiv
Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón Aspects of differential geometry. III. (English) Zbl 1371.53001 Synthesis Lectures on Mathematics and Statistics 18. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-686-1/pbk). xiii, 145 p. (2017). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 53C20 53C22 58A05 26B99 PDFBibTeX XMLCite \textit{E. Calviño-Louzao} et al., Aspects of differential geometry. III. San Rafael, CA: Morgan \& Claypool Publishers (2017; Zbl 1371.53001) Full Text: DOI
Basdouri, Imed; Bartouli, Issam; Lerbet, Jean Deforming \(\mathfrak{h}\)-trivial the Lie algebra \(\operatorname{Vect}(S^1)\) inside the Lie algebra of pseudodifferential operators \(\Psi\mathcal{DO}\). (English) Zbl 1416.17008 Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750082, 20 p. (2017). MSC: 17B56 17B63 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750082, 20 p. (2017; Zbl 1416.17008) Full Text: DOI
Ling, Kaijing; Yuan, Lamei Extensions of modules over the Heisenberg-Virasoro conformal algebra. (English) Zbl 1416.17018 Int. J. Math. 28, No. 5, Article ID 1750036, 13 p. (2017). MSC: 17B69 17B56 PDFBibTeX XMLCite \textit{K. Ling} and \textit{L. Yuan}, Int. J. Math. 28, No. 5, Article ID 1750036, 13 p. (2017; Zbl 1416.17018) Full Text: DOI
Morita, Yosuke Homogeneous spaces of nonreductive type that do not model any compact manifold. (English) Zbl 1371.53051 Publ. Res. Inst. Math. Sci. 53, No. 2, 287-298 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53C30 22F30 53C15 17B08 17B56 57S30 PDFBibTeX XMLCite \textit{Y. Morita}, Publ. Res. Inst. Math. Sci. 53, No. 2, 287--298 (2017; Zbl 1371.53051) Full Text: DOI arXiv
Feigin, Evgeny; Makhlin, Igor Vertices of FFLV polytopes. (English) Zbl 1370.05218 J. Algebr. Comb. 45, No. 4, 1083-1110 (2017). Reviewer: David Grabiner (Columbia) MSC: 05E10 52B05 52B20 17B56 PDFBibTeX XMLCite \textit{E. Feigin} and \textit{I. Makhlin}, J. Algebr. Comb. 45, No. 4, 1083--1110 (2017; Zbl 1370.05218) Full Text: DOI arXiv
Nikolayevsky, Yuri; Tsartsaflis, Ioannis Cohomology of \(\mathbb N\)-graded Lie algebras of maximal class over \(\mathbb Z_{2}\). (English) Zbl 1412.17010 J. Lie Theory 27, No. 2, 529-544 (2017). MSC: 17B56 17B70 PDFBibTeX XMLCite \textit{Y. Nikolayevsky} and \textit{I. Tsartsaflis}, J. Lie Theory 27, No. 2, 529--544 (2017; Zbl 1412.17010) Full Text: arXiv Link
Campoamor-Stursberg, Rutwig Cohomological rigidity of the Schrödinger algebra \(S(N)\) and its central extension \(\hat{S}(N)\). (English) Zbl 1412.17009 J. Lie Theory 27, No. 2, 315-328 (2017). MSC: 17B56 17B81 PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg}, J. Lie Theory 27, No. 2, 315--328 (2017; Zbl 1412.17009) Full Text: Link
Fa, Huanxia; Li, Junbo; Zheng, Yelong Structures of the twisted \(N=1\) Schrödinger-Neveu-Schwarz algebra. (English) Zbl 1406.17033 Commun. Algebra 45, No. 2, 630-659 (2017). MSC: 17B68 17B40 17B56 PDFBibTeX XMLCite \textit{H. Fa} et al., Commun. Algebra 45, No. 2, 630--659 (2017; Zbl 1406.17033) Full Text: DOI
Cherednik, Ivan; Danilenko, Ivan DAHA approach to iterated torus links. (English) Zbl 1405.57010 Beliakova, Anna (ed.) et al., Categorification in geometry, topology, and physics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2821-1/pbk; 978-1-4704-3691-9/ebook). Contemporary Mathematics 684, 159-267 (2017). MSC: 57M25 20C08 14H50 17B22 17B45 20F36 33D52 30F10 55N10 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Danilenko}, Contemp. Math. 684, 159--267 (2017; Zbl 1405.57010) Full Text: DOI arXiv
Uguz, Selman; Karimjanov, Iqbol A.; Omirov, Bakhrom A. Leibniz algebras associated with representations of the diamond Lie algebra. (English) Zbl 1403.17003 Algebr. Represent. Theory 20, No. 1, 175-195 (2017). MSC: 17A32 17B30 17B10 PDFBibTeX XMLCite \textit{S. Uguz} et al., Algebr. Represent. Theory 20, No. 1, 175--195 (2017; Zbl 1403.17003) Full Text: DOI arXiv
Yang, Hengyun; Sun, Jiancai Lie super-bialgebra structures on super \(\mathcal{W}\)-algebra \(\mathcal{SW}(\frac{3}{2}, \frac{3}{2})\). (English) Zbl 1380.17018 J. Geom. Phys. 114, 394-403 (2017). MSC: 17B65 17B56 17B62 PDFBibTeX XMLCite \textit{H. Yang} and \textit{J. Sun}, J. Geom. Phys. 114, 394--403 (2017; Zbl 1380.17018) Full Text: DOI
Schmidt, Claus Günther The critical numbers of Rankin-Selberg convolutions of cohomological representations. (English) Zbl 1419.11087 J. Number Theory 174, 164-188 (2017). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F70 11F66 PDFBibTeX XMLCite \textit{C. G. Schmidt}, J. Number Theory 174, 164--188 (2017; Zbl 1419.11087) Full Text: DOI arXiv
Liberati, José I. Cohomology of vertex algebras. (English) Zbl 1406.17039 J. Algebra 472, 259-272 (2017). MSC: 17B69 17B56 PDFBibTeX XMLCite \textit{J. I. Liberati}, J. Algebra 472, 259--272 (2017; Zbl 1406.17039) Full Text: DOI arXiv
Evans, Tyler J.; Fialowski, Alice Restricted one-dimensional central extensions of restricted simple Lie algebras. (English) Zbl 1418.17045 Linear Algebra Appl. 513, 96-102 (2017). MSC: 17B56 17B50 PDFBibTeX XMLCite \textit{T. J. Evans} and \textit{A. Fialowski}, Linear Algebra Appl. 513, 96--102 (2017; Zbl 1418.17045) Full Text: DOI