Bury, Rhys T.; Mikhailov, Alexander V. Automorphic Lie algebras and corresponding integrable systems. (English) Zbl 07315198 Differ. Geom. Appl. 74, Article ID 101710, 26 p. (2021). MSC: 17B80 17B67 20G45 37J37 PDF BibTeX XML Cite \textit{R. T. Bury} and \textit{A. V. Mikhailov}, Differ. Geom. Appl. 74, Article ID 101710, 26 p. (2021; Zbl 07315198) Full Text: DOI
Salo, Ville; Törmä, Ilkka Recoding Lie algebraic subshifts. (English) Zbl 07314371 Discrete Contin. Dyn. Syst. 41, No. 2, 1005-1021 (2021). MSC: 37B10 17B99 54H15 PDF BibTeX XML Cite \textit{V. Salo} and \textit{I. Törmä}, Discrete Contin. Dyn. Syst. 41, No. 2, 1005--1021 (2021; Zbl 07314371) Full Text: DOI
Azari Key, Fatemeh; Yang, Rongwei Spectral invariants for finite dimensional Lie algebras. (English) Zbl 07312038 Linear Algebra Appl. 611, 148-170 (2021). MSC: 17B10 17B30 15A18 PDF BibTeX XML Cite \textit{F. Azari Key} and \textit{R. Yang}, Linear Algebra Appl. 611, 148--170 (2021; Zbl 07312038) Full Text: DOI
Bao, Huanchen; Sale, Thomas Quantum symmetric pairs at roots of 1. (English) Zbl 07309940 Adv. Math. 380, Article ID 107576, 21 p. (2021). MSC: 17B10 PDF BibTeX XML Cite \textit{H. Bao} and \textit{T. Sale}, Adv. Math. 380, Article ID 107576, 21 p. (2021; Zbl 07309940) Full Text: DOI
Watanabe, Hideya Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. (English) Zbl 07308590 Represent. Theory 25, 27-66 (2021). MSC: 17B10 PDF BibTeX XML Cite \textit{H. Watanabe}, Represent. Theory 25, 27--66 (2021; Zbl 07308590) Full Text: DOI
Chen, Ling; Xu, Xiaoping Projective oscillator representations of \(sl(n+1|m)\) and \(osp(m|n+1)\). (English) Zbl 07306367 Commun. Algebra 49, No. 2, 797-823 (2021). MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{L. Chen} and \textit{X. Xu}, Commun. Algebra 49, No. 2, 797--823 (2021; Zbl 07306367) Full Text: DOI
Johari, Farangis; Niroomand, Peyman; Parvizi, Mohsen Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3. (English) Zbl 07306345 Commun. Algebra 49, No. 2, 521-532 (2021). MSC: 17B30 17B05 17B99 PDF BibTeX XML Cite \textit{F. Johari} et al., Commun. Algebra 49, No. 2, 521--532 (2021; Zbl 07306345) Full Text: DOI
Molev, Alexander; Ragoucy, Eric; Suh, Uhi Rinn Supersymmetric \(W\)-algebras. (English) Zbl 07305724 Lett. Math. Phys. 111, No. 1, Paper No. 6, 25 p. (2021). MSC: 17B35 17B68 17B69 17B70 PDF BibTeX XML Cite \textit{A. Molev} et al., Lett. Math. Phys. 111, No. 1, Paper No. 6, 25 p. (2021; Zbl 07305724) Full Text: DOI
Dwivedi, Ravi; Sahai, Vivek Lie algebras of matrix difference differential operators and special matrix functions. (English) Zbl 07304618 Adv. Appl. Math. 122, Article ID 102109, 19 p. (2021). MSC: 15A16 33C80 44A20 17B10 PDF BibTeX XML Cite \textit{R. Dwivedi} and \textit{V. Sahai}, Adv. Appl. Math. 122, Article ID 102109, 19 p. (2021; Zbl 07304618) Full Text: DOI
Liu, Xuewen; Guo, Xiangqian; Wei, Zhen Irreducible modules over the divergence zero algebras and their \(q\)-analogues. (English) Zbl 07303905 J. Geom. Phys. 161, Article ID 104050, 12 p. (2021). MSC: 17B10 17B65 17B66 17B20 17B70 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Geom. Phys. 161, Article ID 104050, 12 p. (2021; Zbl 07303905) Full Text: DOI
Chen, Chih-Whi; Coulembier, Kevin; Mazorchuk, Volodymyr Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras. (English) Zbl 07303572 Math. Z. 297, No. 1-2, 255-281 (2021). MSC: 17B10 17B55 14M17 14L35 22E47 14F10 14L17 PDF BibTeX XML Cite \textit{C.-W. Chen} et al., Math. Z. 297, No. 1--2, 255--281 (2021; Zbl 07303572) Full Text: DOI
Strayer, Michael C. Classifications of \(\Gamma\)-colored \(d\)-complete posets and upper \(P\)-minuscule Borel representations. (English) Zbl 07303538 Electron. J. Comb. 28, No. 1, Research Paper P1.15, 22 p. (2021). MSC: 05E10 17B10 17B67 06A11 06A07 PDF BibTeX XML Cite \textit{M. C. Strayer}, Electron. J. Comb. 28, No. 1, Research Paper P1.15, 22 p. (2021; Zbl 07303538) Full Text: DOI
Naoi, Katsuyuki; Scrimshaw, Travis Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types. (English) Zbl 07303213 J. Pure Appl. Algebra 225, No. 5, Article ID 106593, 39 p. (2021). MSC: 17B37 17B65 17B10 PDF BibTeX XML Cite \textit{K. Naoi} and \textit{T. Scrimshaw}, J. Pure Appl. Algebra 225, No. 5, Article ID 106593, 39 p. (2021; Zbl 07303213) Full Text: DOI
Leonard, Christopher; Reeks, Michael Trace decategorification of tensor product algebras. (English) Zbl 07303212 J. Pure Appl. Algebra 225, No. 5, Article ID 106591, 42 p. (2021). MSC: 17B10 PDF BibTeX XML Cite \textit{C. Leonard} and \textit{M. Reeks}, J. Pure Appl. Algebra 225, No. 5, Article ID 106591, 42 p. (2021; Zbl 07303212) Full Text: DOI
Liu, Dongwen Book review of: Martin Lorenz, A tour of representation theory. (English) Zbl 07301378 Bull. Am. Math. Soc., New Ser. 58, No. 1 (2021). MSC: 00A17 16-02 16Gxx 16Txx 17-02 17Bxx 20-02 20Cxx 20Gxx PDF BibTeX XML
Brown, Adam; Romanov, Anna Contravariant forms on Whittaker modules. (English) Zbl 07301315 Proc. Am. Math. Soc. 149, No. 1, 37-52 (2021). MSC: 17B10 20G05 22E47 PDF BibTeX XML Cite \textit{A. Brown} and \textit{A. Romanov}, Proc. Am. Math. Soc. 149, No. 1, 37--52 (2021; Zbl 07301315) Full Text: DOI
Su, Yucai; Yue, Xiaoqing; Zhu, Xiaoyu Quantization of the Lie superalgebra of Witt type. (English) Zbl 07299626 J. Geom. Phys. 160, Article ID 103987, 12 p. (2021). MSC: 17B62 17B05 17B37 17B66 PDF BibTeX XML Cite \textit{Y. Su} et al., J. Geom. Phys. 160, Article ID 103987, 12 p. (2021; Zbl 07299626) Full Text: DOI
Meng, Guowu Magnetized Kepler manifolds and their quantization. (English) Zbl 07299375 J. Geom. Phys. 159, Article ID 103891, 12 p. (2021). MSC: 81V45 81V10 81S10 53D50 17B10 81S30 17B08 14D21 PDF BibTeX XML Cite \textit{G. Meng}, J. Geom. Phys. 159, Article ID 103891, 12 p. (2021; Zbl 07299375) Full Text: DOI
Wang, Wei; Xia, Chunguang Structure of a class of rank two Lie conformal algebras. (English) Zbl 07299366 Algebra Colloq. 28, No. 1, 169-180 (2021). MSC: 17B05 17B40 17B56 17B68 PDF BibTeX XML Cite \textit{W. Wang} and \textit{C. Xia}, Algebra Colloq. 28, No. 1, 169--180 (2021; Zbl 07299366) Full Text: DOI
Zhong, Yongyue; Tang, Xiaomin \(n\)-derivations of the extended Schrödinger-Virasoro Lie algebra. (English) Zbl 07299361 Algebra Colloq. 28, No. 1, 105-118 (2021). MSC: 17B05 17B40 17B65 PDF BibTeX XML Cite \textit{Y. Zhong} and \textit{X. Tang}, Algebra Colloq. 28, No. 1, 105--118 (2021; Zbl 07299361) Full Text: DOI
Aldosray, Falih A. M.; Stewart, Ian Generalised chain conditions, prime ideals, and classes of locally finite Lie algebras. (English) Zbl 07299358 Algebra Colloq. 28, No. 1, 63-86 (2021). MSC: 17A60 17B05 17B20 17A61 PDF BibTeX XML Cite \textit{F. A. M. Aldosray} and \textit{I. Stewart}, Algebra Colloq. 28, No. 1, 63--86 (2021; Zbl 07299358) Full Text: DOI
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras. (English) Zbl 07298474 Adv. Math. 378, Article ID 107523, 46 p. (2021). MSC: 17B05 17B65 17B70 PDF BibTeX XML Cite \textit{N. Cantarini} et al., Adv. Math. 378, Article ID 107523, 46 p. (2021; Zbl 07298474) Full Text: DOI
Chen, Chih-Whi; Mazorchuk, Volodymyr Simple supermodules over Lie superalgebras. (English) Zbl 07291887 Trans. Am. Math. Soc. 374, No. 2, 899-921 (2021). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B10 16E30 PDF BibTeX XML Cite \textit{C.-W. Chen} and \textit{V. Mazorchuk}, Trans. Am. Math. Soc. 374, No. 2, 899--921 (2021; Zbl 07291887) Full Text: DOI
Darehgazani, Abbas; Shirnejad, Fateme; Yousofzadeh, Malihe Affine Lie superalgebras. (English) Zbl 07290704 J. Algebra 570, 636-677 (2021). MSC: 17B67 PDF BibTeX XML Cite \textit{A. Darehgazani} et al., J. Algebra 570, 636--677 (2021; Zbl 07290704) Full Text: DOI
Cai, Yan-an; Lü, Rencai; Wang, Yan Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra. (English) Zbl 07290695 J. Algebra 570, 397-415 (2021). MSC: 17B10 17B20 17B65 17B66 17B68 PDF BibTeX XML Cite \textit{Y.-a. Cai} et al., J. Algebra 570, 397--415 (2021; Zbl 07290695) Full Text: DOI
Jing, Naihuan; Kong, Fei; Li, Haisheng; Tan, Shaobin \((G,\chi_\phi)\)-equivariant \(\phi\)-coordinated quasi modules for nonlocal vertex algebras. (English) Zbl 07290686 J. Algebra 570, 24-74 (2021). MSC: 17B69 17B68 17B10 81R10 PDF BibTeX XML Cite \textit{N. Jing} et al., J. Algebra 570, 24--74 (2021; Zbl 07290686) Full Text: DOI
Hemelsoet, Nicolas; Voorhaar, Rik A computer algorithm for the BGG resolution. (English) Zbl 07286503 J. Algebra 569, 758-783 (2021). MSC: 17-08 17B10 17B56 PDF BibTeX XML Cite \textit{N. Hemelsoet} and \textit{R. Voorhaar}, J. Algebra 569, 758--783 (2021; Zbl 07286503) Full Text: DOI
Kannan, Arun S.; Zhu, Honglin Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\). (English) Zbl 07286502 J. Algebra 569, 723-757 (2021). MSC: 17B10 PDF BibTeX XML Cite \textit{A. S. Kannan} and \textit{H. Zhu}, J. Algebra 569, 723--757 (2021; Zbl 07286502) Full Text: DOI
Jauch, Erich C. An extension of \(U( \mathfrak{gl}_n)\) related to the alternating group and Galois orders. (English) Zbl 07286495 J. Algebra 569, 568-594 (2021). MSC: 16G99 17B10 PDF BibTeX XML Cite \textit{E. C. Jauch}, J. Algebra 569, 568--594 (2021; Zbl 07286495) Full Text: DOI
Williamson, Sarah On a family of non-weight modules over Witt-type Lie algebras and superalgebras. (English) Zbl 07286481 J. Algebra 569, 180-194 (2021). MSC: 17B10 PDF BibTeX XML Cite \textit{S. Williamson}, J. Algebra 569, 180--194 (2021; Zbl 07286481) Full Text: DOI
Umirbaev, Ualbai; Zhelyabin, Viktor A Dixmier theorem for Poisson enveloping algebras. (English) Zbl 07285350 J. Algebra 568, 576-600 (2021). MSC: 17B63 17A42 17B05 17D10 PDF BibTeX XML Cite \textit{U. Umirbaev} and \textit{V. Zhelyabin}, J. Algebra 568, 576--600 (2021; Zbl 07285350) Full Text: DOI
Romano, Beth On central extensions and simply laced Lie algebras. (English) Zbl 07285346 J. Algebra 568, 480-511 (2021). MSC: 17B40 17B20 17B10 14H40 PDF BibTeX XML Cite \textit{B. Romano}, J. Algebra 568, 480--511 (2021; Zbl 07285346) Full Text: DOI
Hoyt, Crystal; Im, Mee Seong; Reif, Shifra Denominator identities for the periplectic Lie superalgebra. (English) Zbl 07282605 J. Algebra 567, 459-474 (2021). MSC: 17B20 17B10 05E10 05E05 PDF BibTeX XML Cite \textit{C. Hoyt} et al., J. Algebra 567, 459--474 (2021; Zbl 07282605) Full Text: DOI
Zhu, Jieru Two boundary centralizer algebras for \(\mathfrak{q}(n)\). (English) Zbl 07282604 J. Algebra 567, 386-458 (2021). MSC: 17B37 20C08 PDF BibTeX XML Cite \textit{J. Zhu}, J. Algebra 567, 386--458 (2021; Zbl 07282604) Full Text: DOI
Cai, Yan-an; Liu, Dong; Lü, Rencai Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra. (English) Zbl 07282592 J. Algebra 567, 114-127 (2021). MSC: 17B10 17B65 17B68 17B70 PDF BibTeX XML Cite \textit{Y.-a. Cai} et al., J. Algebra 567, 114--127 (2021; Zbl 07282592) Full Text: DOI
Tang, Rong; Hou, Shuai; Sheng, Yunhe Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras. (English) Zbl 07282589 J. Algebra 567, 37-62 (2021). MSC: 17A42 17B10 17B38 17B40 17B56 PDF BibTeX XML Cite \textit{R. Tang} et al., J. Algebra 567, 37--62 (2021; Zbl 07282589) Full Text: DOI
Zelmanov, Efim; Zhang, Zezhou Finite presentability of universal central extensions of \(\mathfrak{sl}_n(R)\). (English) Zbl 07282588 J. Algebra 567, 11-36 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B45 17B05 PDF BibTeX XML Cite \textit{E. Zelmanov} and \textit{Z. Zhang}, J. Algebra 567, 11--36 (2021; Zbl 07282588) Full Text: DOI
Lauda, Aaron D.; Manion, Andrew Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \). (English) Zbl 07282557 Adv. Math. 376, Article ID 107455, 60 p. (2021). MSC: 57K18 16S30 16T20 17B10 17B37 PDF BibTeX XML Cite \textit{A. D. Lauda} and \textit{A. Manion}, Adv. Math. 376, Article ID 107455, 60 p. (2021; Zbl 07282557) Full Text: DOI
Lecouvey, Cédric; Lenart, Cristian Atomic decomposition of characters and crystals. (English) Zbl 07282555 Adv. Math. 376, Article ID 107453, 52 p. (2021). MSC: 05E10 17B10 PDF BibTeX XML Cite \textit{C. Lecouvey} and \textit{C. Lenart}, Adv. Math. 376, Article ID 107453, 52 p. (2021; Zbl 07282555) 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
Kwon, Jae-Hoon; Yu, Jeongwoo \(R\) matrix for generalized quantum group of type \(A\). (English) Zbl 07268495 J. Algebra 566, 309-341 (2021). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{J.-H. Kwon} and \textit{J. Yu}, J. Algebra 566, 309--341 (2021; Zbl 07268495) Full Text: DOI
Bai, Zhanqiang; Xiao, Wei Reducibility of generalized Verma modules for Hermitian symmetric pairs. (English) Zbl 07264667 J. Pure Appl. Algebra 225, No. 4, Article ID 106561, 21 p. (2021). MSC: 17B10 17B20 22E47 PDF BibTeX XML Cite \textit{Z. Bai} and \textit{W. Xiao}, J. Pure Appl. Algebra 225, No. 4, Article ID 106561, 21 p. (2021; Zbl 07264667) Full Text: DOI
Ignatyev, Mikhail V.; Shevchenko, Aleksandr A. Centrally generated primitive ideals of \(U(\mathfrak{n})\) for exceptional types. (English) Zbl 07262048 J. Algebra 565, 627-650 (2021). MSC: 17B25 17B35 17B10 17B08 PDF BibTeX XML Cite \textit{M. V. Ignatyev} and \textit{A. A. Shevchenko}, J. Algebra 565, 627--650 (2021; Zbl 07262048) Full Text: DOI
Douglas, Andrew; de Graaf, Willem A. Closed subsets of root systems and regular subalgebras. (English) Zbl 07262043 J. Algebra 565, 531-547 (2021). MSC: 17B05 17B10 17B20 17B30 17B37 PDF BibTeX XML Cite \textit{A. Douglas} and \textit{W. A. de Graaf}, J. Algebra 565, 531--547 (2021; Zbl 07262043) Full Text: DOI
Xu, Xiaoping Conformal oscillator representations of orthosymplectic Lie superalgebras. (English) Zbl 07251303 J. Pure Appl. Algebra 225, No. 3, Article ID 106530, 24 p. (2021). MSC: 17B10 22E46 PDF BibTeX XML Cite \textit{X. Xu}, J. Pure Appl. Algebra 225, No. 3, Article ID 106530, 24 p. (2021; Zbl 07251303) Full Text: DOI
Yang, Hengyun; Yao, Yufeng; Xia, Limeng On non-weight representations of the \(N=2\) superconformal algebras. (English) Zbl 07251302 J. Pure Appl. Algebra 225, No. 3, Article ID 106529, 19 p. (2021). MSC: 17B10 17B65 17B66 17B68 PDF BibTeX XML Cite \textit{H. Yang} et al., J. Pure Appl. Algebra 225, No. 3, Article ID 106529, 19 p. (2021; Zbl 07251302) Full Text: DOI
Kostant, Bertram Collected papers of Bertram Kostant. Volume V 2000–2007. Edited by Anthony Joseph, Shrawan Kumar and Michèle Vergne (to appear). (English) Zbl 06754354 New York, NY: Springer (ISBN 978-0-387-09590-5/hbk). 645 p. (2021). MSC: 01A75 22-06 17Bxx PDF BibTeX XML Cite \textit{B. Kostant}, Collected papers of Bertram Kostant. Volume V 2000--2007. Edited by Anthony Joseph, Shrawan Kumar and Michèle Vergne (to appear). New York, NY: Springer (2021; Zbl 06754354)
Kostant, Bertram Collected papers of Bertram Kostant. Volume II 1967–1978. Edited by Anthony Joseph, Shrawan Kumar, Michèle Vergne (to appear). (English) Zbl 06610646 New York, NY: Springer (ISBN 978-0-387-09584-4/hbk; 978-0-387-09585-1/ebook). 900 p. (2021). MSC: 01A75 22-06 22-03 17Bxx 22Exx PDF BibTeX XML Cite \textit{B. Kostant}, Collected papers of Bertram Kostant. Volume II 1967--1978. Edited by Anthony Joseph, Shrawan Kumar, Michèle Vergne (to appear). New York, NY: Springer (2021; Zbl 06610646)
Mason, Geoffrey Five not-so-easy pieces: open problems about vertex rings. (English) Zbl 07315971 Krauel, Matthew (ed.) et al., Vertex operator algebras, number theory and related topics. International conference, California State University, Sacramento, CA, USA, June 11–15, 2018. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4938-4/pbk; 978-1-4704-5636-8/ebook). Contemporary Mathematics 753, 213-232 (2020). MSC: 17B99 PDF BibTeX XML Cite \textit{G. Mason}, Contemp. Math. 753, 213--232 (2020; Zbl 07315971) Full Text: DOI
Lecouvey, Cédric; Lenart, Cristian Combinatorics of generalized exponents. (English) Zbl 07313479 Int. Math. Res. Not. 2020, No. 16, 4942-4992 (2020). MSC: 05E10 17B10 PDF BibTeX XML Cite \textit{C. Lecouvey} and \textit{C. Lenart}, Int. Math. Res. Not. 2020, No. 16, 4942--4992 (2020; Zbl 07313479) Full Text: DOI
Fukushima, Osamu; Sakamoto, Jun-ichi; Yoshida, Kentaroh Yang-Baxter deformations of the \(\mathrm{AdS}_5 \times S^5\) supercoset sigma model from 4D Chern-Simons theory. (English) Zbl 07313031 J. High Energy Phys. 2020, No. 9, Paper No. 100, 22 p. (2020). MSC: 81R12 81T35 58J28 70S15 17B80 16T25 PDF BibTeX XML Cite \textit{O. Fukushima} et al., J. High Energy Phys. 2020, No. 9, Paper No. 100, 22 p. (2020; Zbl 07313031) Full Text: DOI arXiv
Arabyani, H.; Sheikh-Mohseni, S. Isoclinic relative extensions of pairs of Lie algebras. (English) Zbl 07311171 Quaest. Math. 43, No. 7, 919-930 (2020). MSC: 17B60 17B40 17B99 PDF BibTeX XML Cite \textit{H. Arabyani} and \textit{S. Sheikh-Mohseni}, Quaest. Math. 43, No. 7, 919--930 (2020; Zbl 07311171) Full Text: DOI
Green, Richard M. What is \(\ldots\) a minuscule representation? (English) Zbl 07308986 Notices Am. Math. Soc. 67, No. 6, 850-853 (2020). MSC: 17-00 17B10 20-00 20G05 PDF BibTeX XML Cite \textit{R. M. Green}, Notices Am. Math. Soc. 67, No. 6, 850--853 (2020; Zbl 07308986) Full Text: DOI
Niroomand, Peyman; Shamsaki, Afsaneh Nilpotent Lie algebras having the Schur multiplier of maximum dimension. (English) Zbl 07307593 Quaest. Math. 43, No. 9, 1239-1246 (2020). MSC: 17B30 17B05 17B99 PDF BibTeX XML Cite \textit{P. Niroomand} and \textit{A. Shamsaki}, Quaest. Math. 43, No. 9, 1239--1246 (2020; Zbl 07307593) Full Text: DOI
Tarasov, V.; Uvarov, F. Duality for Bethe algebras acting on polynomials in anticommuting variables. (English) Zbl 07305715 Lett. Math. Phys. 110, No. 12, 3375-3400 (2020). MSC: 17B35 17B80 82B23 PDF BibTeX XML Cite \textit{V. Tarasov} and \textit{F. Uvarov}, Lett. Math. Phys. 110, No. 12, 3375--3400 (2020; Zbl 07305715) Full Text: DOI
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
Cantuba, Rafael Reno S. Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator. (English) Zbl 07305690 Lett. Math. Phys. 110, No. 10, 2639-2657 (2020). MSC: 17B10 17B15 17B81 17B37 47B07 47B15 47B32 47B37 47B47 47L30 47L90 46H70 81R10 81R50 81R99 PDF BibTeX XML Cite \textit{R. R. S. Cantuba}, Lett. Math. Phys. 110, No. 10, 2639--2657 (2020; Zbl 07305690) Full Text: DOI
Robert, Louis-Hadrien; Wagner, Emmanuel A closed formula for the evaluation of foams. (English) Zbl 07305663 Quantum Topol. 11, No. 3, 411-487 (2020). MSC: 57R56 57K18 17B10 17B37 PDF BibTeX XML Cite \textit{L.-H. Robert} and \textit{E. Wagner}, Quantum Topol. 11, No. 3, 411--487 (2020; Zbl 07305663) Full Text: DOI
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 07304001 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDF BibTeX XML Cite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 07304001) Full Text: Link
Grantcharov, Nikolay; Serganova, Vera Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\). (English) Zbl 07302826 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 141, 32 p. (2020). MSC: 17B55 17B10 PDF BibTeX XML Cite \textit{N. Grantcharov} and \textit{V. Serganova}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 141, 32 p. (2020; Zbl 07302826) Full Text: DOI
Lu, Kang Perfect integrability and Gaudin models. (English) Zbl 07302817 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 132, 10 p. (2020). MSC: 82B23 17B80 PDF BibTeX XML Cite \textit{K. Lu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 132, 10 p. (2020; Zbl 07302817) Full Text: DOI
Towers, David A. Leibniz \(A\)-algebras. (English) Zbl 07300184 Commun. Math. 28, No. 2, 103-121 (2020). MSC: 17A32 17B05 17B20 17B30 17B50 PDF BibTeX XML Cite \textit{D. A. Towers}, Commun. Math. 28, No. 2, 103--121 (2020; Zbl 07300184) Full Text: DOI
Mazorchuk, Volodymyr; Mrđen, Rafael BGG complexes in singular blocks of category \(\mathcal{O}\). (English) Zbl 07299918 J. Pure Appl. Algebra 224, No. 12, Article ID 106449, 25 p. (2020). MSC: 17B10 17B55 PDF BibTeX XML Cite \textit{V. Mazorchuk} and \textit{R. Mrđen}, J. Pure Appl. Algebra 224, No. 12, Article ID 106449, 25 p. (2020; Zbl 07299918) Full Text: DOI
Chen, Haibo; Han, Jianzhi A class of simple non-weight modules over the Virasoro algebra. (English) Zbl 07298490 Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 956-970 (2020). MSC: 17B10 17B65 17B68 PDF BibTeX XML Cite \textit{H. Chen} and \textit{J. Han}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 956--970 (2020; Zbl 07298490) Full Text: DOI
Brundan, Jonathan; Savage, Alistair; Webster, Ben Heisenberg and Kac-Moody categorification. (English) Zbl 07296285 Sel. Math., New Ser. 26, No. 5, Paper No. 74, 61 p. (2020). MSC: 17B10 18D10 PDF BibTeX XML Cite \textit{J. Brundan} et al., Sel. Math., New Ser. 26, No. 5, Paper No. 74, 61 p. (2020; Zbl 07296285) Full Text: DOI
Tajnia, S.; Moghaddam, Mohammad Reza R. Cover and irreducible relative central extension of a pair of Lie algebras. (English) Zbl 07296176 Southeast Asian Bull. Math. 44, No. 3, 439-449 (2020). MSC: 17B30 17B99 PDF BibTeX XML Cite \textit{S. Tajnia} and \textit{M. R. R. Moghaddam}, Southeast Asian Bull. Math. 44, No. 3, 439--449 (2020; Zbl 07296176)
Huang, Zhongxian Poisson structure on the central extension of \(W(0, 1)\). (Chinese. English summary) Zbl 07295691 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 4, 486-491 (2020). MSC: 17B63 17B05 PDF BibTeX XML Cite \textit{Z. Huang}, J. Sichuan Norm. Univ., Nat. Sci. 43, No. 4, 486--491 (2020; Zbl 07295691) Full Text: DOI
Ma, Lili; Li, Qiang Abelian extensions of \(\delta\)-Lie color algebras. (Chinese. English summary) Zbl 07295637 J. Shandong Univ., Nat. Sci. 55, No. 8, 38-42 (2020). MSC: 17B75 17B10 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Q. Li}, J. Shandong Univ., Nat. Sci. 55, No. 8, 38--42 (2020; Zbl 07295637) Full Text: DOI
Hu, Haixin; Tang, Xiaomin Structure of graded post-Lie algebras on the Virasoro algebra. (English) Zbl 07295538 J. Nat. Sci. Heilongjiang Univ. 37, No. 3, 277-282 (2020). MSC: 17B05 17B68 PDF BibTeX XML Cite \textit{H. Hu} and \textit{X. Tang}, J. Nat. Sci. Heilongjiang Univ. 37, No. 3, 277--282 (2020; Zbl 07295538) Full Text: DOI
Cao, Yan On the structure of split \(\delta\)-Jordan Lie triple systems. (English) Zbl 07295460 J. Math., Wuhan Univ. 40, No. 3, 314-322 (2020). MSC: 17A40 17B05 17B22 17B60 PDF BibTeX XML Cite \textit{Y. Cao}, J. Math., Wuhan Univ. 40, No. 3, 314--322 (2020; Zbl 07295460) Full Text: DOI
Wu, Xianfeng; Zhao, Xiufang; Du, Junhua; Fu, Junwei Quasiderivation and centroid of multiplicative Hom-\(\delta\)-Lie supertriple systems. (Chinese. English summary) Zbl 07295409 J. Jilin Univ., Sci. 58, No. 4, 825-831 (2020). MSC: 17B40 17B05 17A40 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Jilin Univ., Sci. 58, No. 4, 825--831 (2020; Zbl 07295409) Full Text: DOI
Ma, Lili; Li, Qiang Abelian extensions of Hom-Jordan Lie superalgebras. (Chinese. English summary) Zbl 07295405 J. Jilin Univ., Sci. 58, No. 4, 803-807 (2020). MSC: 17B60 17B10 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Q. Li}, J. Jilin Univ., Sci. 58, No. 4, 803--807 (2020; Zbl 07295405) Full Text: DOI
Xia, Limeng; Zhao, Shanshan Classification of finite-dimensional real simple Balinsky-Novikov superalgebras. (Chinese. English summary) Zbl 07295224 J. East China Norm. Univ., Nat. Sci. Ed., No. 4, 12-17 (2020). MSC: 17A70 17B99 PDF BibTeX XML Cite \textit{L. Xia} and \textit{S. Zhao}, J. East China Norm. Univ., Nat. Sci. Ed. , No. 4, 12--17 (2020; Zbl 07295224) Full Text: DOI
Guo, Shuangjian Cohomology and Nijenhuis operators of Lie supertriple systems. (Chinese. English summary) Zbl 07295223 J. East China Norm. Univ., Nat. Sci. Ed., No. 4, 1-11 (2020). MSC: 17B10 17B56 17A40 PDF BibTeX XML Cite \textit{S. Guo}, J. East China Norm. Univ., Nat. Sci. Ed. , No. 4, 1--11 (2020; Zbl 07295223) Full Text: DOI
Wang, Ziyu; Wang, Yan The compatible left-symmetric superalgebraic structures on the \(W(2, 2)\) superalgebra. (Chinese. English summary) Zbl 07294944 Acta Sci. Nat. Univ. Nankaiensis 53, No. 3, 62-72 (2020). MSC: 17B05 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{Y. Wang}, Acta Sci. Nat. Univ. Nankaiensis 53, No. 3, 62--72 (2020; Zbl 07294944)
Chen, Haibo; Lai, Dandan; Liu, Dong The Hom-Lie structure on the Lie algebra \(W(2, 2)\). (Chinese. English summary) Zbl 07294940 Acta Math. Sin., Chin. Ser. 63, No. 4, 403-408 (2020). MSC: 17B05 17B60 17B65 PDF BibTeX XML Cite \textit{H. Chen} et al., Acta Math. Sin., Chin. Ser. 63, No. 4, 403--408 (2020; Zbl 07294940)
Guo, Shuangjian Representations of \(\delta\)-BiHom-Jordan-Lie superalgebras. (Chinese. English summary) Zbl 07294931 Acta Math. Sin., Chin. Ser. 63, No. 4, 289-308 (2020). MSC: 17B10 17B60 17B40 PDF BibTeX XML Cite \textit{S. Guo}, Acta Math. Sin., Chin. Ser. 63, No. 4, 289--308 (2020; Zbl 07294931)
Bai, Ruipu; Hou, Shuai; Kang, Chuangchuang 3-Lie bialgebras and 3-pre-Lie algebras induced by involutive derivations. (Chinese. English summary) Zbl 07294915 Acta Math. Sin., Chin. Ser. 63, No. 2, 123-136 (2020). MSC: 17B05 17B62 PDF BibTeX XML Cite \textit{R. Bai} et al., Acta Math. Sin., Chin. Ser. 63, No. 2, 123--136 (2020; Zbl 07294915)
Mabrouk, S.; Makhlouf, A.; Massoud, S. Generalized representations of 3-Hom-Lie algebras. (English) Zbl 07293445 Extr. Math. 35, No. 1, 99-126 (2020). MSC: 17A42 17B10 PDF BibTeX XML Cite \textit{S. Mabrouk} et al., Extr. Math. 35, No. 1, 99--126 (2020; Zbl 07293445)
Attan, S.; Hounnon, H.; Kpamegan, B. Hom-Jordan and Hom-alternative bimodules. (English) Zbl 07293444 Extr. Math. 35, No. 1, 69-97 (2020). MSC: 17A30 17B10 17C50 17D05 PDF BibTeX XML Cite \textit{S. Attan} et al., Extr. Math. 35, No. 1, 69--97 (2020; Zbl 07293444)
Hopkins, Sam Cyclic sieving for plane partitions and symmetry. (English) Zbl 07292477 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 130, 40 p. (2020). MSC: 05E18 05E10 17B10 17B37 PDF BibTeX XML Cite \textit{S. Hopkins}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 130, 40 p. (2020; Zbl 07292477) Full Text: DOI
Liashyk, Andrii; Pakuliak, Stanislav Z. Gauss coordinates vs currents for the Yangian doubles of the classical types. (English) Zbl 07292467 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020). MSC: 82B23 81R12 81R50 17B80 PDF BibTeX XML Cite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020; Zbl 07292467) Full Text: DOI
Barbier, Sigiswald; Claerebout, Sam; De Bie, Hendrik A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\). (English) Zbl 07292453 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 085, 33 p. (2020). MSC: 17B10 17B60 22E46 58C50 PDF BibTeX XML Cite \textit{S. Barbier} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 085, 33 p. (2020; Zbl 07292453) Full Text: DOI
Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman Evaluations of noncommutative polynomials on algebras: methods and problems, and the L’vov-Kaplansky conjecture. (English) Zbl 07292439 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020). MSC: 16H05 16K20 16R30 16R40 17B99 PDF BibTeX XML Cite \textit{A. Kanel-Belov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020; Zbl 07292439) Full Text: DOI
Halacheva, Iva; Kamnitzer, Joel; Rybnikov, Leonid; Weekes, Alex Crystals and monodromy of Bethe vectors. (English) Zbl 07292310 Duke Math. J. 169, No. 12, 2337-2419 (2020). MSC: 17B10 17B80 PDF BibTeX XML Cite \textit{I. Halacheva} et al., Duke Math. J. 169, No. 12, 2337--2419 (2020; Zbl 07292310) Full Text: DOI Euclid
Tubbenhauer, Daniel \(\mathfrak{gl}_n\)-webs, categorification and Khovanov-Rozansky homologies. (English) Zbl 07291648 J. Knot Theory Ramifications 29, No. 11, Article ID 2050074, 96 p. (2020). MSC: 57K18 17B10 20C08 PDF BibTeX XML Cite \textit{D. Tubbenhauer}, J. Knot Theory Ramifications 29, No. 11, Article ID 2050074, 96 p. (2020; Zbl 07291648) Full Text: DOI
Kleinschmidt, Axel; Nicolai, Hermann; Viganò, Adriano On spinorial representations of involutory subalgebras of Kac-Moody algebras. (English) Zbl 07290807 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 (ISBN 978-3-030-42399-5/hbk; 978-3-030-42400-8/ebook). Moscow Lectures 5, 179-215 (2020). MSC: 81T40 81R10 17B67 14L30 18A32 17B15 81T32 83E50 81T16 15A66 81V22 81V74 PDF BibTeX XML Cite \textit{A. Kleinschmidt} et al., Mosc. Lect. 5, 179--215 (2020; Zbl 07290807) Full Text: DOI
Safa, Hesam; Arabyani, Homayoon; Norouzi, Morteza On the \(c\)-nilpotent multiplier of a pair of Lie algebras. (English) Zbl 07287381 Publ. Math. 97, No. 1-2, 253-264 (2020). Reviewer: Andrea Caranti (Trento) MSC: 17B30 17B60 17B99 PDF BibTeX XML Cite \textit{H. Safa} et al., Publ. Math. 97, No. 1--2, 253--264 (2020; Zbl 07287381) Full Text: DOI
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; van de Leur, Johan \( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\). (English) Zbl 07286853 Commun. Math. Phys. 380, No. 2, 655-722 (2020). MSC: 37K10 37K30 17B63 17B69 17B80 PDF BibTeX XML Cite \textit{S. Carpentier} et al., Commun. Math. Phys. 380, No. 2, 655--722 (2020; Zbl 07286853) Full Text: DOI
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Vertex operators, solvable lattice models and metaplectic Whittaker functions. (English) Zbl 07286851 Commun. Math. Phys. 380, No. 2, 535-579 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 33C15 16T05 16T25 20G42 33D80 17B69 17B80 37K60 15A66 PDF BibTeX XML Cite \textit{B. Brubaker} et al., Commun. Math. Phys. 380, No. 2, 535--579 (2020; Zbl 07286851) Full Text: DOI
Achar, Pramod N.; Hardesty, William D.; Riche, Simon Representation theory of disconnected reductive groups. (English) Zbl 07286581 Doc. Math. 25, 2149-2177 (2020). MSC: 20G05 17B10 20C15 PDF BibTeX XML Cite \textit{P. N. Achar} et al., Doc. Math. 25, 2149--2177 (2020; Zbl 07286581) Full Text: DOI
Benayadi, Saïd On representations of symmetric Leibniz algebras. (English) Zbl 07286363 Glasg. Math. J. 62, No. S1, S99-S107 (2020). MSC: 17A32 17B10 17B05 17B30 17D25 PDF BibTeX XML Cite \textit{S. Benayadi}, Glasg. Math. J. 62, No. S1, S99--S107 (2020; Zbl 07286363) Full Text: DOI
Bavula, Volodymyr V.; Lu, Tao The prime ideals and simple modules of the universal enveloping algebra \(U(\mathfrak{b}\ltimes V_2)\). (English) Zbl 07286362 Glasg. Math. J. 62, No. S1, S77-S98 (2020). MSC: 17B10 16D25 16D60 16D70 16P50 PDF BibTeX XML Cite \textit{V. V. Bavula} and \textit{T. Lu}, Glasg. Math. J. 62, No. S1, S77--S98 (2020; Zbl 07286362) Full Text: DOI
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Zhang, Xiaoting Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations. (English) Zbl 07286294 J. Inst. Math. Jussieu 19, No. 6, 1793-1829 (2020). MSC: 18N10 16G10 17B10 PDF BibTeX XML Cite \textit{M. Mackaay} et al., J. Inst. Math. Jussieu 19, No. 6, 1793--1829 (2020; Zbl 07286294) Full Text: DOI
Cahen, Benjamin Formal deformations and principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) and \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 07285971 Czech. Math. J. 70, No. 4, 935-951 (2020). MSC: 17B10 17B20 17B56 22E46 53D55 PDF BibTeX XML Cite \textit{B. Cahen}, Czech. Math. J. 70, No. 4, 935--951 (2020; Zbl 07285971) Full Text: DOI
Duan, Fei-Fei; Shu, Bin; Yao, Yu-Feng The category \(\mathcal O\) for Lie algebras of vector fields (I): tilting modules and character formulas. (English) Zbl 07285666 Publ. Res. Inst. Math. Sci. 56, No. 4, 743-760 (2020). MSC: 17B10 17B66 17B70 PDF BibTeX XML Cite \textit{F.-F. Duan} et al., Publ. Res. Inst. Math. Sci. 56, No. 4, 743--760 (2020; Zbl 07285666) Full Text: DOI
Stukopin, V. A. Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra. (English. Russian original) Zbl 1453.81040 Theor. Math. Phys. 204, No. 3, 1227-1243 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 466-484 (2020). MSC: 81R50 81T40 17B37 17B10 PDF BibTeX XML Cite \textit{V. A. Stukopin}, Theor. Math. Phys. 204, No. 3, 1227--1243 (2020; Zbl 1453.81040); translation from Teor. Mat. Fiz. 204, No. 3, 466--484 (2020) Full Text: DOI
Varchenko, Alexander; Woodruff, Tyler Critical points and mKdV hierarchy of type \(C^{(1)}_n\). (English) Zbl 07283926 Pure Appl. Math. Q. 16, No. 4, 1281-1320 (2020). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K10 37K30 37K20 17B80 81R10 PDF BibTeX XML Cite \textit{A. Varchenko} and \textit{T. Woodruff}, Pure Appl. Math. Q. 16, No. 4, 1281--1320 (2020; Zbl 07283926) 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
Jennings-Shaffer, Chris; Milas, Antun On \(q\)-series identities for false theta series. (English) Zbl 07281415 Adv. Math. 375, Article ID 107411, 22 p. (2020). MSC: 11F27 11F22 17B69 PDF BibTeX XML Cite \textit{C. Jennings-Shaffer} and \textit{A. Milas}, Adv. Math. 375, Article ID 107411, 22 p. (2020; Zbl 07281415) Full Text: DOI