Chen, Xinhong; Lu, Ming; Wang, Weiqiang Serre-Lusztig relations for \(\iota\) quantum groups. (English) Zbl 07333503 Commun. Math. Phys. 382, No. 2, 1015-1059 (2021). MSC: 17B 81R 81R50 81R15 17B37 17B67 81R10 PDF BibTeX XML Cite \textit{X. Chen} et al., Commun. Math. Phys. 382, No. 2, 1015--1059 (2021; Zbl 07333503) Full Text: DOI
Tingley, Peter A quiver variety approach to root multiplicities. (English) Zbl 07329425 Algebr. Comb. 4, No. 1, 163-174 (2021). MSC: 17B67 PDF BibTeX XML Cite \textit{P. Tingley}, Algebr. Comb. 4, No. 1, 163--174 (2021; Zbl 07329425) Full Text: DOI
Yamada, Hiromichi; Yamauchi, Hiroshi \( \mathbb{Z}_{2 k} \)-code vertex operator algebras. (English) Zbl 07327766 J. Algebra 573, 451-475 (2021). MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{H. Yamada} and \textit{H. Yamauchi}, J. Algebra 573, 451--475 (2021; Zbl 07327766) Full Text: DOI
Salisbury, B.; Scrimshaw, T. Rigged configurations and the \(\ast \)-involution for generalized Kac-Moody algebras. (English) Zbl 07327756 J. Algebra 573, 148-168 (2021). MSC: 05E10 17B67 PDF BibTeX XML Cite \textit{B. Salisbury} and \textit{T. Scrimshaw}, J. Algebra 573, 148--168 (2021; Zbl 07327756) Full Text: DOI
Alspach, Brian Honeycomb toroidal graphs. (English) Zbl 07324073 Bull. Inst. Comb. Appl. 91, 94-114 (2021). MSC: 05C25 05C38 PDF BibTeX XML Cite \textit{B. Alspach}, Bull. Inst. Comb. Appl. 91, 94--114 (2021; Zbl 07324073) Full Text: Link
Chen, Fulin; Li, Zhiqiang; Tan, Shaobin Classification of integrable representations for toroidal extended affine Lie algebras. (English) Zbl 07318805 J. Algebra 574, 1-37 (2021). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Algebra 574, 1--37 (2021; Zbl 07318805) Full Text: DOI
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi \(\mathbb{Z}_k\)-code vertex operator algebras. (English) Zbl 07317367 J. Math. Soc. Japan 73, No. 1, 185-209 (2021). MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{T. Arakawa} et al., J. Math. Soc. Japan 73, No. 1, 185--209 (2021; Zbl 07317367) Full Text: DOI Euclid
Linshaw, Andrew R. Universal two-parameter \(\mathcal{W}_\infty\)-algebra and vertex algebras of type \(\mathcal{W}(2, 3,\dots,N)\). (English) Zbl 07317311 Compos. Math. 157, No. 1, 12-82 (2021). MSC: 17B67 17B68 17B69 81R10 PDF BibTeX XML Cite \textit{A. R. Linshaw}, Compos. Math. 157, No. 1, 12--82 (2021; Zbl 07317311) Full Text: DOI
Simson, Daniel; Zając, Katarzyna On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs. (English) Zbl 07311329 Linear Algebra Appl. 610, 698-765 (2021). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDF BibTeX XML Cite \textit{D. Simson} and \textit{K. Zając}, Linear Algebra Appl. 610, 698--765 (2021; Zbl 07311329) Full Text: DOI
Sagaki, Daisuke; Yu, Dongxiao Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2. (English) Zbl 07306359 Commun. Algebra 49, No. 2, 690-705 (2021). MSC: 17B37 17B67 81R50 PDF BibTeX XML Cite \textit{D. Sagaki} and \textit{D. Yu}, Commun. Algebra 49, No. 2, 690--705 (2021; Zbl 07306359) Full Text: DOI
Carbone, Lisa; Kownacki, Matt; Murray, Scott H.; Srinivasan, Sowmya Commutator relations and structure constants for rank 2 Kac-Moody algebras. (English) Zbl 1450.81044 J. Algebra 566, 443-476 (2021). MSC: 81R10 17B67 17B22 17B05 PDF BibTeX XML Cite \textit{L. Carbone} et al., J. Algebra 566, 443--476 (2021; Zbl 1450.81044) Full Text: DOI
Fan, Zhaobing; Kang, Seok-Jin; Kim, Young Rock; Tong, Bolun Classical limit of quantum Borcherds-Bozec algebras. (English) Zbl 1452.17016 J. Pure Appl. Algebra 225, No. 2, Article ID 106502, 18 p. (2021). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{Z. Fan} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106502, 18 p. (2021; Zbl 1452.17016) Full Text: DOI
Ostrik, Victor; Rowell, Eric C.; Sun, Michael Symplectic level-rank duality via tensor categories. (English) Zbl 07332273 J. Lie Theory 30, No. 4, 909-924 (2020). MSC: 18M20 17B67 PDF BibTeX XML Cite \textit{V. Ostrik} et al., J. Lie Theory 30, No. 4, 909--924 (2020; Zbl 07332273) Full Text: Link
Kodera, Ryosuke Level one Weyl modules for toroidal Lie algebras. (English) Zbl 07305705 Lett. Math. Phys. 110, No. 11, 3053-3080 (2020). MSC: 17B67 17B10 17B65 17B69 PDF BibTeX XML Cite \textit{R. Kodera}, Lett. Math. Phys. 110, No. 11, 3053--3080 (2020; Zbl 07305705) Full Text: DOI
Gerdjikov, V. S.; Stefanov, A. A.; Iliev, I. D.; Boyadjiev, G. P.; Smirnov, A. O.; Matveev, V. B.; Pavlov, M. V. Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\). (English. Russian original) Zbl 1456.37072 Theor. Math. Phys. 204, No. 3, 1110-1129 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 332-354 (2020). MSC: 37K10 37K20 35Q53 17B67 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 204, No. 3, 1110--1129 (2020; Zbl 1456.37072); translation from Teor. Mat. Fiz. 204, No. 3, 332--354 (2020) Full Text: DOI
Iohara, Kenji; Saito, Yoshihisa Invariants of the Weyl group of type \(A^{(2)}_{2l}\). (English) Zbl 07283900 Pure Appl. Math. Q. 16, No. 3, 337-369 (2020). MSC: 17B10 17B67 11F50 PDF BibTeX XML Cite \textit{K. Iohara} and \textit{Y. Saito}, Pure Appl. Math. Q. 16, No. 3, 337--369 (2020; Zbl 07283900) Full Text: DOI
Ying, Cenlei; Xia, Limeng; Zhang, Honglian Vertex representation of quantum \(N\)-toroidal algebra for type \(F_4\). (English) Zbl 07271658 Commun. Algebra 48, No. 9, 3780-3799 (2020). Reviewer: Slaven Kozic (Zagreb) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{C. Ying} et al., Commun. Algebra 48, No. 9, 3780--3799 (2020; Zbl 07271658) Full Text: DOI
Kim, Young-Hun; Oh, Se-jin; Oh, Young-Tak Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras. (English) Zbl 1448.05227 Adv. Math. 374, Article ID 107336, 75 p. (2020). MSC: 05E18 05E10 17B10 17B67 PDF BibTeX XML Cite \textit{Y.-H. Kim} et al., Adv. Math. 374, Article ID 107336, 75 p. (2020; Zbl 1448.05227) Full Text: DOI
Kim, Young-Hun; Oh, Se-Jin; Oh, Young-Tak Cyclic sieving phenomenon on dominant maximal weights. (English) Zbl 1451.05246 Sémin. Lothar. Comb. 84B, 84B.29, 12 p. (2020). Reviewer: David Grabiner (Columbia) MSC: 05E10 05E18 17B10 17B67 PDF BibTeX XML Cite \textit{Y.-H. Kim} et al., Sémin. Lothar. Comb. 84B, 84B.29, 12 p. (2020; Zbl 1451.05246) Full Text: Link
Stokman, Jasper V. Generalized Onsager algebras. (English) Zbl 07246650 Algebr. Represent. Theory 23, No. 4, 1523-1541 (2020). MSC: 17B67 81R10 PDF BibTeX XML Cite \textit{J. V. Stokman}, Algebr. Represent. Theory 23, No. 4, 1523--1541 (2020; Zbl 07246650) Full Text: DOI
Misra, Kailash C.; Pongprasert, Suchada \(D^{(1)}_6\)-geometric crystal at the spin node. (English) Zbl 07243465 Commun. Algebra 48, No. 8, 3382-3397 (2020). MSC: 17B67 22E65 14M15 17B37 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{S. Pongprasert}, Commun. Algebra 48, No. 8, 3382--3397 (2020; Zbl 07243465) Full Text: DOI
Arakawa, Tomoyuki; Moreau, Anne Corrigendum to: “Sheets and associated varieties of affine vertex algebras”. (English) Zbl 1442.17025 Adv. Math. 372, Article ID 107302, 4 p. (2020). MSC: 17B67 17B69 81R10 PDF BibTeX XML Cite \textit{T. Arakawa} and \textit{A. Moreau}, Adv. Math. 372, Article ID 107302, 4 p. (2020; Zbl 1442.17025) Full Text: DOI
Neguţ, Andrei Quantum toroidal and shuffle algebras. (English) Zbl 07232808 Adv. Math. 372, Article ID 107288, 59 p. (2020). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 17B67 81R50 16T20 PDF BibTeX XML Cite \textit{A. Neguţ}, Adv. Math. 372, Article ID 107288, 59 p. (2020; Zbl 07232808) Full Text: DOI
Anitha, T.; Rajkumar, R. Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs. (English) Zbl 1443.05089 J. Algebra Appl. 19, No. 5, Article ID 2050099, 16 p. (2020). MSC: 05C25 05C10 PDF BibTeX XML Cite \textit{T. Anitha} and \textit{R. Rajkumar}, J. Algebra Appl. 19, No. 5, Article ID 2050099, 16 p. (2020; Zbl 1443.05089) Full Text: DOI
Xia, Limeng Finite dimensional modules over quantum toroidal algebras. (English) Zbl 07217606 Front. Math. China 15, No. 3, 593-600 (2020). MSC: 17B37 PDF BibTeX XML Cite \textit{L. Xia}, Front. Math. China 15, No. 3, 593--600 (2020; Zbl 07217606) Full Text: DOI
Lin, Xingjun Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras. (English) Zbl 07213748 Lett. Math. Phys. 110, No. 6, 1363-1380 (2020). MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{X. Lin}, Lett. Math. Phys. 110, No. 6, 1363--1380 (2020; Zbl 07213748) Full Text: DOI
Strayer, Michael C. Unified characterizations of minuscule Kac-Moody representations built from colored posets. (English) Zbl 1441.05241 Electron. J. Comb. 27, No. 2, Research Paper P2.42, 30 p. (2020). MSC: 05E10 17B10 17B67 05E16 06A11 PDF BibTeX XML Cite \textit{M. C. Strayer}, Electron. J. Comb. 27, No. 2, Research Paper P2.42, 30 p. (2020; Zbl 1441.05241) Full Text: DOI
Rui, Hebing; Song, Linliang Representations of Brauer category and categorification. (English) Zbl 07198568 J. Algebra 557, 1-36 (2020). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B67 16E20 16S99 17B10 18N25 20C30 20G05 PDF BibTeX XML Cite \textit{H. Rui} and \textit{L. Song}, J. Algebra 557, 1--36 (2020; Zbl 07198568) Full Text: DOI
Kang, Seok-Jin; Kim, Young Rock Quantum Borcherds-Bozec algebras and their integrable representations. (English) Zbl 07195684 J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang} and \textit{Y. R. Kim}, J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020; Zbl 07195684) Full Text: DOI
Liu, Si-Qi; Wu, Chao-Zhong; Zhang, Youjin; Zhou, Xu Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras. (English) Zbl 1443.37051 Commun. Math. Phys. 375, No. 1, 785-832 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 37K30 37K10 17B67 81R10 PDF BibTeX XML Cite \textit{S.-Q. Liu} et al., Commun. Math. Phys. 375, No. 1, 785--832 (2020; Zbl 1443.37051) Full Text: DOI
Cai, Yan-An; Tan, Haijun; Zhao, Kaiming New representations of affine Kac-Moody algebras. (English) Zbl 07152375 J. Algebra 547, 95-115 (2020). MSC: 17B67 PDF BibTeX XML Cite \textit{Y.-A. Cai} et al., J. Algebra 547, 95--115 (2020; Zbl 07152375) Full Text: DOI
Zeng, Ziting; Zhou, Yingmei Fock representation of the type \({\mathrm{D}}_l\) Lie algebras. (Chinese. English summary) Zbl 1449.17023 J. Beijing Norm. Univ., Nat. Sci. 55, No. 4, 429-436 (2019). MSC: 17B10 17B20 17B67 PDF BibTeX XML Cite \textit{Z. Zeng} and \textit{Y. Zhou}, J. Beijing Norm. Univ., Nat. Sci. 55, No. 4, 429--436 (2019; Zbl 1449.17023) Full Text: DOI
Primc, Mirko Some combinatorial coincidences for standard representations of affine Lie algebras. (English) Zbl 1456.17014 Adamović, Dražen (ed.) et al., Affine, vertex and \(W\)-algebras. Based on the INdAM workshop, Rome, Italy, December 11–15, 2017. Cham: Springer. Springer INdAM Ser. 37, 203-218 (2019). Reviewer: Stefano Capparelli (Roma) MSC: 17B67 05A19 17B69 PDF BibTeX XML Cite \textit{M. Primc}, Springer INdAM Ser. 37, 203--218 (2019; Zbl 1456.17014) Full Text: DOI
Butorac, Marijana Quasi-particle bases of principal subspaces of affine Lie algebras. (English) Zbl 1456.17013 Adamović, Dražen (ed.) et al., Affine, vertex and \(W\)-algebras. Based on the INdAM workshop, Rome, Italy, December 11–15, 2017. Cham: Springer. Springer INdAM Ser. 37, 65-85 (2019). Reviewer: Stefano Capparelli (Roma) MSC: 17B67 05A19 17B69 PDF BibTeX XML Cite \textit{M. Butorac}, Springer INdAM Ser. 37, 65--85 (2019; Zbl 1456.17013) Full Text: DOI
Khandai, Tanusree Spectral characters of a class of integrable representations of toroidal Lie algebras. (English) Zbl 07144050 Algebr. Represent. Theory 22, No. 5, 1149-1181 (2019). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{T. Khandai}, Algebr. Represent. Theory 22, No. 5, 1149--1181 (2019; Zbl 07144050) Full Text: DOI arXiv
Cardona, Duván Pseudo-differential operators in Hölder spaces revisited: Weyl-Hörmander calculus and Ruzhansky-Turunen classes. (English) Zbl 1427.35383 Mediterr. J. Math. 16, No. 6, Paper No. 148, 17 p. (2019). MSC: 35S05 35J70 35A27 47G30 PDF BibTeX XML Cite \textit{D. Cardona}, Mediterr. J. Math. 16, No. 6, Paper No. 148, 17 p. (2019; Zbl 1427.35383) Full Text: DOI arXiv
Burde, Dietrich; Zusmanovich, Pasha Commutative post-Lie algebra structures on Kac-Moody algebras. (English) Zbl 07122767 Commun. Algebra 47, No. 12, 5218-5226 (2019). MSC: 17B67 PDF BibTeX XML Cite \textit{D. Burde} and \textit{P. Zusmanovich}, Commun. Algebra 47, No. 12, 5218--5226 (2019; Zbl 07122767) Full Text: DOI
Slinkin, Alexey; Varchenko, Alexander Twisted de Rham complex on line and singular vectors in \(\widehat{\mathfrak{sl}_2}\) Verma modules. (English) Zbl 07121402 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 075, 26 p. (2019). MSC: 17B56 17B67 33C80 PDF BibTeX XML Cite \textit{A. Slinkin} and \textit{A. Varchenko}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 075, 26 p. (2019; Zbl 07121402) Full Text: DOI
Arakawa, Tomoyuki; Frenkel, Edward Quantum Langlands duality of representations of \({\mathcal{W}}\)-algebras. (English) Zbl 07118442 Compos. Math. 155, No. 12, 2235-2262 (2019). MSC: 17B67 17B68 17B69 81R10 PDF BibTeX XML Cite \textit{T. Arakawa} and \textit{E. Frenkel}, Compos. Math. 155, No. 12, 2235--2262 (2019; Zbl 07118442) Full Text: DOI arXiv
Hong, Jiuzu Conformal blocks, Verlinde formula and diagram automorphisms. (English) Zbl 07103852 Adv. Math. 354, Article ID 106731, 50 p. (2019). MSC: 17B67 20G05 PDF BibTeX XML Cite \textit{J. Hong}, Adv. Math. 354, Article ID 106731, 50 p. (2019; Zbl 07103852) Full Text: DOI
Guo, Hongyan; Li, Haisheng; Tan, Shaobin; Wang, Qing \(q\)-Virasoro algebra and affine Kac-Moody Lie algebras. (English) Zbl 1455.17025 J. Algebra 534, 168-189 (2019). MSC: 17B68 17B67 17B69 PDF BibTeX XML Cite \textit{H. Guo} et al., J. Algebra 534, 168--189 (2019; Zbl 1455.17025) Full Text: DOI arXiv
Barbaresco, Frédéric Jean-Louis Koszul and the elementary structures of information geometry. (English) Zbl 1448.94112 Nielsen, Frank (ed.), Geometric structures of information. Proceedings of the conference on geometric science of information, GSI 2017. Cham: Springer. Signals Commun. Technol., 333-392 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 94A17 22E30 17B67 53C15 60D99 PDF BibTeX XML Cite \textit{F. Barbaresco}, in: Geometric structures of information. Proceedings of the conference on geometric science of information, GSI 2017. Cham: Springer. 333--392 (2019; Zbl 1448.94112) Full Text: DOI
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Corrigendum to “Multiplets of representations, twisted Dirac operators and Vogan’s conjecture in affine setting”. (English) Zbl 07078834 Adv. Math. 351, 1201-1209 (2019). MSC: 17B67 17B10 17B69 58J60 PDF BibTeX XML Cite \textit{V. G. Kac} et al., Adv. Math. 351, 1201--1209 (2019; Zbl 07078834) Full Text: DOI
Jiang, Cuipo; Li, Haisheng On a certain category of \(\mathfrak{gl}_{\infty}\)-modules. (English) Zbl 07069223 Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 1, 55-86 (2019). MSC: 17B65 17B67 17B69 PDF BibTeX XML Cite \textit{C. Jiang} and \textit{H. Li}, Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 1, 55--86 (2019; Zbl 07069223) Full Text: DOI
Kang, Seok-Jin Borcherds-Bozec algebras, root multiplicities and the Schofield construction. (English) Zbl 07062263 Commun. Contemp. Math. 21, No. 3, Article ID 1850031, 38 p. (2019). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang}, Commun. Contemp. Math. 21, No. 3, Article ID 1850031, 38 p. (2019; Zbl 07062263) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr Geometric realizations of affine Kac-Moody algebras. (English) Zbl 1423.22020 J. Algebra 528, 177-216 (2019). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 22E67 22E70 22E65 17B67 PDF BibTeX XML Cite \textit{V. Futorny} et al., J. Algebra 528, 177--216 (2019; Zbl 1423.22020) Full Text: DOI
Azam, S.; Behboodi, G. Derivations of extended multi-loop algebras. (English) Zbl 1436.17024 J. Lie Theory 29, No. 1, 247-262 (2019). MSC: 17B40 17B65 17B67 17B70 PDF BibTeX XML Cite \textit{S. Azam} and \textit{G. Behboodi}, J. Lie Theory 29, No. 1, 247--262 (2019; Zbl 1436.17024) Full Text: Link
Adamović, Dražen; Radobolja, Gordan Self-dual and logarithmic representations of the twisted Heisenberg-Virasoro algebra at level zero. (English) Zbl 1439.17026 Commun. Contemp. Math. 21, No. 2, Article ID 1850008, 26 p. (2019). MSC: 17B69 17B67 17B68 81R10 PDF BibTeX XML Cite \textit{D. Adamović} and \textit{G. Radobolja}, Commun. Contemp. Math. 21, No. 2, Article ID 1850008, 26 p. (2019; Zbl 1439.17026) Full Text: DOI
Adamović, Dražen Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\). (English) Zbl 1452.17027 Commun. Math. Phys. 366, No. 3, 1025-1067 (2019). Reviewer: Stefano Capparelli (Roma) MSC: 17B69 17B68 17B67 PDF BibTeX XML Cite \textit{D. Adamović}, Commun. Math. Phys. 366, No. 3, 1025--1067 (2019; Zbl 1452.17027) Full Text: DOI
Balagović, Martina; Kolb, Stefan Universal K-matrix for quantum symmetric pairs. (English) Zbl 1425.81058 J. Reine Angew. Math. 747, 299-353 (2019). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81R50 81R15 17B37 17B67 81R10 16T25 PDF BibTeX XML Cite \textit{M. Balagović} and \textit{S. Kolb}, J. Reine Angew. Math. 747, 299--353 (2019; Zbl 1425.81058) Full Text: DOI
Jiao, Xiangyu; Li, Haisheng; Mu, Qiang Modular Virasoro vertex algebras and affine vertex algebras. (English) Zbl 1441.17022 J. Algebra 519, 273-311 (2019). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B68 17B67 17B50 PDF BibTeX XML Cite \textit{X. Jiao} et al., J. Algebra 519, 273--311 (2019; Zbl 1441.17022) Full Text: DOI arXiv
Chen, Fulin; Li, Zhiqiang; Tan, Shaobin Integrable representations for toroidal extended affine Lie algebras. (English) Zbl 1433.17030 J. Algebra 519, 228-252 (2019). MSC: 17B67 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Algebra 519, 228--252 (2019; Zbl 1433.17030) Full Text: DOI arXiv
Naghshinehfard, Mohammad; Parvaneh, Foroud Toroidal and projective cyclic graphs. (English) Zbl 1454.05052 J. Math. Ext. 12, No. 1, 13-23 (2018). MSC: 05C25 05C10 PDF BibTeX XML Cite \textit{M. Naghshinehfard} and \textit{F. Parvaneh}, J. Math. Ext. 12, No. 1, 13--23 (2018; Zbl 1454.05052) Full Text: Link
Artemovych, Orest D.; Balinsky, Alexander A.; Blackmore, Denis; Prykarpatski, Anatolij K. Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators. (English) Zbl 1423.17024 Symmetry 10, No. 11, Paper No. 601, 28 p. (2018). MSC: 17B68 35Q53 37K10 58J70 17D25 17B20 17A36 PDF BibTeX XML Cite \textit{O. D. Artemovych} et al., Symmetry 10, No. 11, Paper No. 601, 28 p. (2018; Zbl 1423.17024) Full Text: DOI
Varchenko, Alexander; Woodruff, Tyler Critical points of master functions and mKdV hierarchy of type \(A^{(2)}_{2n}\). (English) Zbl 1439.17028 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, 205-233 (2018). MSC: 17B80 17B67 37K10 81R12 PDF BibTeX XML Cite \textit{A. Varchenko} and \textit{T. Woodruff}, Contemp. Math. 713, 205--233 (2018; Zbl 1439.17028) Full Text: DOI arXiv
Hong, Jiuzu Fusion rings revisited. (English) Zbl 07113843 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) (ISBN 978-1-4704-3696-4/hbk; 978-1-4704-4882-0/ebook). Contemporary Mathematics 713, 135-147 (2018). MSC: 17B67 81T40 20G44 PDF BibTeX XML Cite \textit{J. Hong}, Contemp. Math. 713, 135--147 (2018; Zbl 07113843) Full Text: DOI
Asir, Thangaraj; Mano, Karuppiah The classification of rings with its genus of class of graphs. (English) Zbl 1424.13003 Turk. J. Math. 42, No. 3, 1424-1435 (2018). MSC: 13A15 13M05 05C75 05C25 PDF BibTeX XML Cite \textit{T. Asir} and \textit{K. Mano}, Turk. J. Math. 42, No. 3, 1424--1435 (2018; Zbl 1424.13003) Full Text: DOI
Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei The Racah algebra as a commutant and Howe duality. (English) Zbl 1411.81112 J. Phys. A, Math. Theor. 51, No. 50, Article ID 50LT01, 8 p. (2018). MSC: 81R12 33C45 17B67 22E70 37K10 PDF BibTeX XML Cite \textit{J. Gaboriaud} et al., J. Phys. A, Math. Theor. 51, No. 50, Article ID 50LT01, 8 p. (2018; Zbl 1411.81112) Full Text: DOI
Bai, Liqian; Chen, Xueqing; Ding, Ming; Xu, Fan A quantum analog of generalized cluster algebras. (English) Zbl 1408.16008 Algebr. Represent. Theory 21, No. 6, 1203-1217 (2018). MSC: 16G20 17B67 17B35 18E30 PDF BibTeX XML Cite \textit{L. Bai} et al., Algebr. Represent. Theory 21, No. 6, 1203--1217 (2018; Zbl 1408.16008) Full Text: DOI
Chai, Weijun; Xia, Limeng Irreducible \(\mathfrak{sl}_2\)-decomposition for a highest weight \(\widehat {\mathfrak{sl}_2}\)-module. (English) Zbl 1424.17027 J. East China Norm. Univ., Nat. Sci. Ed., No. 3, 25-29 (2018). MSC: 17B67 17B50 PDF BibTeX XML Cite \textit{W. Chai} and \textit{L. Xia}, J. East China Norm. Univ., Nat. Sci. Ed. , No. 3, 25--29 (2018; Zbl 1424.17027) Full Text: DOI
Maksimau, Ruslan Categorical representations and KLR algebras. (English) Zbl 1433.16014 Algebra Number Theory 12, No. 8, 1887-1921 (2018). MSC: 16G20 17B67 18E10 PDF BibTeX XML Cite \textit{R. Maksimau}, Algebra Number Theory 12, No. 8, 1887--1921 (2018; Zbl 1433.16014) Full Text: DOI
Lautenbacher, Robin; Köhl, Ralf Extending generalized spin representations. (English) Zbl 1440.17018 J. Lie Theory 28, No. 4, 915-940 (2018). MSC: 17B67 81R10 PDF BibTeX XML Cite \textit{R. Lautenbacher} and \textit{R. Köhl}, J. Lie Theory 28, No. 4, 915--940 (2018; Zbl 1440.17018) Full Text: Link
Wei, Yulong; Xu, Min; Wang, Kaishun Strong rainbow connection numbers of toroidal meshes. (English) Zbl 1400.05116 Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850039, 10 p. (2018). MSC: 05C25 05C15 PDF BibTeX XML Cite \textit{Y. Wei} et al., Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850039, 10 p. (2018; Zbl 1400.05116) Full Text: DOI arXiv
Snadden, John; Ridout, David; Wood, Simon An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula. (English) Zbl 1450.17009 Lett. Math. Phys. 108, No. 11, 2363-2423 (2018). MSC: 17B69 81T40 17B10 17B67 PDF BibTeX XML Cite \textit{J. Snadden} et al., Lett. Math. Phys. 108, No. 11, 2363--2423 (2018; Zbl 1450.17009) Full Text: DOI
Muthiah, Dinakar; Tingley, Peter Affine PBW bases and affine MV polytopes. (English) Zbl 06976973 Sel. Math., New Ser. 24, No. 5, 4781-4810 (2018). MSC: 17B37 17B67 81R10 PDF BibTeX XML Cite \textit{D. Muthiah} and \textit{P. Tingley}, Sel. Math., New Ser. 24, No. 5, 4781--4810 (2018; Zbl 06976973) Full Text: DOI arXiv
Millionshchikov, Dmitry Lie algebras of slow growth and Klein-Gordon PDE. (English) Zbl 1440.17023 Algebr. Represent. Theory 21, No. 5, 1037-1069 (2018). MSC: 17B80 17B67 35A30 35B06 35L71 PDF BibTeX XML Cite \textit{D. Millionshchikov}, Algebr. Represent. Theory 21, No. 5, 1037--1069 (2018; Zbl 1440.17023) Full Text: DOI
Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis Coproduct for Yangians of affine Kac-Moody algebras. (English) Zbl 1447.17012 Adv. Math. 338, 865-911 (2018). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{N. Guay} et al., Adv. Math. 338, 865--911 (2018; Zbl 1447.17012) Full Text: DOI
Baraglia, David; Kamgarpour, Masoud On the image of the parabolic Hitchin map. (English) Zbl 06944992 Q. J. Math. 69, No. 2, 681-708 (2018). Reviewer: Nicolae Manolache (Bucureşti) MSC: 17B67 17B69 22E50 20G25 14D20 14H60 PDF BibTeX XML Cite \textit{D. Baraglia} and \textit{M. Kamgarpour}, Q. J. Math. 69, No. 2, 681--708 (2018; Zbl 06944992) Full Text: DOI
Creutzig, Thomas; Huang, Yi-Zhi; Yang, Jinwei Braided tensor categories of admissible modules for affine Lie algebras. (English) Zbl 1427.17038 Commun. Math. Phys. 362, No. 3, 827-854 (2018). MSC: 17B67 17B69 18M15 PDF BibTeX XML Cite \textit{T. Creutzig} et al., Commun. Math. Phys. 362, No. 3, 827--854 (2018; Zbl 1427.17038) Full Text: DOI
Anitha, T.; Rajkumar, R.; Gagarin, Andrei The complement of proper power graphs of finite groups. (English) Zbl 1393.05142 Palest. J. Math. 7, No. 2, 579-597 (2018). MSC: 05C25 05C10 PDF BibTeX XML Cite \textit{T. Anitha} et al., Palest. J. Math. 7, No. 2, 579--597 (2018; Zbl 1393.05142) Full Text: Link arXiv
Marquis, Timothée An introduction to Kac-Moody groups over fields. (English) Zbl 1405.20003 EMS Textbooks in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-187-3/hbk; 978-3-03719-687-8/ebook). xi, 331 p. (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20-02 20G44 17B67 20E42 20F55 PDF BibTeX XML Cite \textit{T. Marquis}, An introduction to Kac-Moody groups over fields. Zürich: European Mathematical Society (EMS) (2018; Zbl 1405.20003) Full Text: DOI
Kang, Seok-Jin Young wall model for \(A_2^{(2)}\)-type adjoint crystals. (English) Zbl 1450.17005 Commun. Algebra 46, No. 7, 2862-2889 (2018). MSC: 17B37 17B67 20G42 81R50 PDF BibTeX XML Cite \textit{S.-J. Kang}, Commun. Algebra 46, No. 7, 2862--2889 (2018; Zbl 1450.17005) Full Text: DOI arXiv
Yu, Dongxiao Lakshmibai-Seshadri paths for hyperbolic Kac-Moody algebras of rank 2. (English) Zbl 1443.17005 Commun. Algebra 46, No. 6, 2702-2713 (2018). MSC: 17B37 17B67 81R50 PDF BibTeX XML Cite \textit{D. Yu}, Commun. Algebra 46, No. 6, 2702--2713 (2018; Zbl 1443.17005) Full Text: DOI arXiv
Liberati, José I. Tensor product of modules over a vertex algebra. (English) Zbl 1433.17035 Adv. Math. 330, 1160-1208 (2018). MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{J. I. Liberati}, Adv. Math. 330, 1160--1208 (2018; Zbl 1433.17035) Full Text: DOI
Tamizh Chelvam, T.; Selvakumar, K.; Ramanathan, V. Cayley sum graph of ideals of commutative rings. (English) Zbl 1388.13021 J. Algebra Appl. 17, No. 7, Article ID 1850125, 14 p. (2018). MSC: 13A99 05C12 05C25 05C69 PDF BibTeX XML Cite \textit{T. Tamizh Chelvam} et al., J. Algebra Appl. 17, No. 7, Article ID 1850125, 14 p. (2018; Zbl 1388.13021) Full Text: DOI
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Suetake, Kazuma; Zenkevich, Yegor \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces. (English) Zbl 1388.81623 J. High Energy Phys. 2018, No. 3, Paper No. 192, 70 p. (2018). MSC: 81T40 17B67 83E30 81T45 PDF BibTeX XML Cite \textit{H. Awata} et al., J. High Energy Phys. 2018, No. 3, Paper No. 192, 70 p. (2018; Zbl 1388.81623) Full Text: DOI arXiv
Liu, Dong; Pei, Yufeng; Xia, Limeng Irreducible representations over the diamond Lie algebra. (English) Zbl 1429.17026 Commun. Algebra 46, No. 1, 143-148 (2018). MSC: 17B68 17B67 PDF BibTeX XML Cite \textit{D. Liu} et al., Commun. Algebra 46, No. 1, 143--148 (2018; Zbl 1429.17026) 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 PDF BibTeX XML Cite \textit{A. Molev}, Sugawara operators for classical Lie algebras. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1395.17001) Full Text: DOI
Jayne, Rebecca L.; Misra, Kailash C. Lattice paths, Young tableaux, and weight multiplicities. (English) Zbl 1384.05173 Ann. Comb. 22, No. 1, 147-156 (2018). MSC: 05E10 17B10 05A05 05A17 17B67 PDF BibTeX XML Cite \textit{R. L. Jayne} and \textit{K. C. Misra}, Ann. Comb. 22, No. 1, 147--156 (2018; Zbl 1384.05173) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{D. Muthiah}, Am. J. Math. 140, No. 1, 221--244 (2018; Zbl 1390.22019) Full Text: DOI arXiv
Arakawa, Tomoyuki; Moreau, Anne Joseph ideals and lisse minimal \(w\)-algebras. (English) Zbl 1416.17014 J. Inst. Math. Jussieu 17, No. 2, 397-417 (2018). MSC: 17B67 17B69 81R10 PDF BibTeX XML Cite \textit{T. Arakawa} and \textit{A. Moreau}, J. Inst. Math. Jussieu 17, No. 2, 397--417 (2018; Zbl 1416.17014) Full Text: DOI arXiv
Chen, Chih-Whi; Peng, Yung-Ning Affine periplectic Brauer algebras. (English) Zbl 1432.17034 J. Algebra 501, 345-372 (2018). MSC: 17B70 17B10 17B67 PDF BibTeX XML Cite \textit{C.-W. Chen} and \textit{Y.-N. Peng}, J. Algebra 501, 345--372 (2018; Zbl 1432.17034) Full Text: DOI arXiv
Feingold, Alex J.; Vallières, Daniel Weyl groups of some hyperbolic Kac-Moody algebras. (English) Zbl 1427.20050 J. Algebra 500, 457-497 (2018). MSC: 20F55 11E88 20H25 17B67 PDF BibTeX XML Cite \textit{A. J. Feingold} and \textit{D. Vallières}, J. Algebra 500, 457--497 (2018; Zbl 1427.20050) Full Text: DOI
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 PDF BibTeX XML Cite \textit{V. Futorny} and \textit{I. Kashuba}, J. Algebra 500, 362--374 (2018; Zbl 1425.17035) Full Text: DOI
Kang, Seok-Jin Ringel-Hall algebra construction of quantum Borcherds-Bozec algebras. (English) Zbl 1430.17046 J. Algebra 498, 344-361 (2018). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang}, J. Algebra 498, 344--361 (2018; Zbl 1430.17046) 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 PDF BibTeX XML Cite \textit{L. Křižka} and \textit{P. Somberg}, Lett. Math. Phys. 108, No. 1, 1--44 (2018; Zbl 1448.17027) Full Text: DOI
Jing, Naihuan; Kožić, Slaven; Molev, Alexander; Yang, Fan Center of the quantum affine vertex algebra in type \(A\). (English) Zbl 1432.17014 J. Algebra 496, 138-186 (2018). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{N. Jing} et al., J. Algebra 496, 138--186 (2018; Zbl 1432.17014) Full Text: DOI
Fu, Qiang BLM realization for \(\mathcal U_{\mathbb Z}(\widehat{\mathfrak{gl}}_n)\). (English) Zbl 1396.20050 Commun. Contemp. Math. 20, No. 2, Article ID 1750013, 35 p. (2018). MSC: 20G43 17B37 17B67 20G05 PDF BibTeX XML Cite \textit{Q. Fu}, Commun. Contemp. Math. 20, No. 2, Article ID 1750013, 35 p. (2018; Zbl 1396.20050) Full Text: DOI
Belinski, Vladimir; Henneaux, Marc The cosmological singularity. (English) Zbl 1378.83002 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press (ISBN 978-1-107-04747-1/hbk; 978-1-107-23933-3/ebook). xii, 263 p. (2018). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 83F05 85A40 00A79 83C75 83E50 83C10 53Z05 83C15 83C05 20F55 83C60 17B67 PDF BibTeX XML Cite \textit{V. Belinski} and \textit{M. Henneaux}, The cosmological singularity. Cambridge: Cambridge University Press (2018; Zbl 1378.83002) Full Text: DOI
Chernousov, V.; Neher, E.; Pianzola, A. Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core. (English) Zbl 06929242 Trans. Mosc. Math. Soc. 2017, 235-256 (2017) and Tr. Mosk. Mat. O.-va 78, No. 2, 283-309 (2017). MSC: 17B67 16S36 17B40 PDF BibTeX XML Cite \textit{V. Chernousov} et al., Trans. Mosc. Math. Soc. 2017, 235--256 (2017; Zbl 06929242) Full Text: DOI
Kac, V. G.; Wakimoto, M. Representations of superconformal algebras and mock theta functions. (English) Zbl 1436.17034 Trans. Mosc. Math. Soc. 2017, 9-74 (2017) and Tr. Mosk. Mat. O.-va 78, No. 1, 17-88 (2017). MSC: 17B67 17B10 17B68 11F50 33E05 PDF BibTeX XML Cite \textit{V. G. Kac} and \textit{M. Wakimoto}, Trans. Mosc. Math. Soc. 2017, 9--74 (2017; Zbl 1436.17034) Full Text: DOI
Doostabadi, A.; Farrokhi, M. Embeddings of (proper) power graphs of finite graphs. (English) Zbl 1388.05083 Algebra Discrete Math. 24, No. 2, 221-234 (2017). MSC: 05C25 05C10 PDF BibTeX XML Cite \textit{A. Doostabadi} and \textit{M. Farrokhi}, Algebra Discrete Math. 24, No. 2, 221--234 (2017; Zbl 1388.05083)
Kamgarpour, Masoud On the notion of conductor in the local geometric Langlands correspondence. (English) Zbl 1433.17032 Can. J. Math. 69, No. 1, 107-129 (2017). MSC: 17B67 17B69 22E57 20G25 PDF BibTeX XML Cite \textit{M. Kamgarpour}, Can. J. Math. 69, No. 1, 107--129 (2017; Zbl 1433.17032) Full Text: DOI arXiv
Dhillon, Gurbir; Khare, Apoorva The Weyl-Kac weight formula. (English) Zbl 1433.17031 Sémin. Lothar. Comb. 78B, 78B.77, 12 p. (2017). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{G. Dhillon} and \textit{A. Khare}, Sémin. Lothar. Comb. 78B, 78B.77, 12 p. (2017; Zbl 1433.17031) Full Text: Link arXiv
Asir, T.; Tamizh Chelvam, T. Genus of total graphs of commutative rings: a survey. (English) Zbl 1383.05153 Sinha, Deepa (ed.) et al., International conference on current trends in graph theory and computation, CTGTC-2016, New Delhi, India, September 17–19, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 63, 59-68 (2017). MSC: 05C25 05C10 PDF BibTeX XML Cite \textit{T. Asir} and \textit{T. Tamizh Chelvam}, Electron. Notes Discrete Math. 63, 59--68 (2017; Zbl 1383.05153) Full Text: DOI
Harrison, Sarah M.; Kachru, Shamit; Paquette, Natalie M.; Volpato, Roberto; Zimet, Max Heterotic sigma models on \(T^8\) and the Borcherds automorphic form \(\Phi_{12}\). (English) Zbl 1383.83175 J. High Energy Phys. 2017, No. 10, Paper No. 121, 10 p. (2017). MSC: 83E30 11F22 17B67 11F12 11F50 81T30 83D05 PDF BibTeX XML Cite \textit{S. M. Harrison} et al., J. High Energy Phys. 2017, No. 10, Paper No. 121, 10 p. (2017; Zbl 1383.83175) Full Text: DOI
Sokolov, Vladimir Algebraic structures related to integrable differential equations. (English) Zbl 1394.37003 Ensaios Matemáticos 31. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (ISBN 978-85-8337-128-1/pbk). 108 p., open access (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37-02 37K10 37K15 37K40 17B63 17B67 17B80 PDF BibTeX XML Cite \textit{V. Sokolov}, Algebraic structures related to integrable differential equations. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (2017; Zbl 1394.37003) Full Text: Link
Song, Jaewon Macdonald index and chiral algebra. (English) Zbl 1381.81123 J. High Energy Phys. 2017, No. 8, Paper No. 44, 25 p. (2017). MSC: 81T40 17B67 17B68 81T60 PDF BibTeX XML Cite \textit{J. Song}, J. High Energy Phys. 2017, No. 8, Paper No. 44, 25 p. (2017; Zbl 1381.81123) 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 PDF BibTeX XML Cite \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
Mare, Augustin-Liviu On the complete integrability of the periodic quantum Toda lattice. (English) Zbl 1379.37105 Forum Math. 29, No. 6, 1413-1427 (2017). MSC: 37J35 81Q80 17B20 17B35 17B67 PDF BibTeX XML Cite \textit{A.-L. Mare}, Forum Math. 29, No. 6, 1413--1427 (2017; Zbl 1379.37105) Full Text: DOI arXiv