Yang, Chao; Liu, Jianqi Endomorphism property of vertex operator algebras over arbitrary fields. (English) Zbl 07665497 J. Algebra 622, 450-468 (2023). MSC: 17Bxx 16Pxx 16Sxx PDF BibTeX XML Cite \textit{C. Yang} and \textit{J. Liu}, J. Algebra 622, 450--468 (2023; Zbl 07665497) Full Text: DOI arXiv OpenURL
Guerrini, Marcela; Kashuba, Iryna; Morales, Oscar; de Oliveira, André; Santos, Fernando Junior Generalized imaginary Verma and Wakimoto modules. (English) Zbl 07663845 J. Pure Appl. Algebra 227, No. 7, Article ID 107332, 18 p. (2023). MSC: 17B10 17B67 17B69 PDF BibTeX XML Cite \textit{M. Guerrini} et al., J. Pure Appl. Algebra 227, No. 7, Article ID 107332, 18 p. (2023; Zbl 07663845) Full Text: DOI arXiv OpenURL
Lam, Ching Hung Unitary forms for holomorphic vertex operator algebras of central charge 24. (English) Zbl 07663279 Lett. Math. Phys. 113, No. 2, Paper No. 28, 28 p. (2023). MSC: 17B69 20B25 PDF BibTeX XML Cite \textit{C. H. Lam}, Lett. Math. Phys. 113, No. 2, Paper No. 28, 28 p. (2023; Zbl 07663279) Full Text: DOI arXiv OpenURL
Chen, Haibo Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras. (English) Zbl 07661198 J. Algebra 621, 41-57 (2023). MSC: 17B10 17B65 17B68 17B69 PDF BibTeX XML Cite \textit{H. Chen}, J. Algebra 621, 41--57 (2023; Zbl 07661198) Full Text: DOI arXiv OpenURL
Lin, Xingjun Trace functions and fusion rules of diagonal coset vertex operator algebras. (English) Zbl 07661195 J. Pure Appl. Algebra 227, No. 6, Article ID 107327, 17 p. (2023). MSC: 17B69 PDF BibTeX XML Cite \textit{X. Lin}, J. Pure Appl. Algebra 227, No. 6, Article ID 107327, 17 p. (2023; Zbl 07661195) Full Text: DOI arXiv OpenURL
Gubarev, Vsevolod; Kozlov, Roman Rota-Baxter operations on \(\mathrm{Cur}(\mathrm{sl}_2 (\mathbb{C}))\). (English) Zbl 07660838 Int. Electron. J. Algebra 33, 247-269 (2023). MSC: 17B69 PDF BibTeX XML Cite \textit{V. Gubarev} and \textit{R. Kozlov}, Int. Electron. J. Algebra 33, 247--269 (2023; Zbl 07660838) Full Text: arXiv Link OpenURL
Adamović, Dražen; Perše, Ozren; Vukorepa, Ivana On the representation theory of the vertex algebra \(L_{-5/2}(sl(4))\). (English) Zbl 07654822 Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023). MSC: 17B69 17B67 17B68 PDF BibTeX XML Cite \textit{D. Adamović} et al., Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023; Zbl 07654822) Full Text: DOI arXiv OpenURL
Yabe, Takahiro On the classification of 2-generated axial algebras of Majorana type. (English) Zbl 07648538 J. Algebra 619, 347-382 (2023). MSC: 17B69 17A60 PDF BibTeX XML Cite \textit{T. Yabe}, J. Algebra 619, 347--382 (2023; Zbl 07648538) Full Text: DOI arXiv OpenURL
Wu, Zhixiang Representations of some associative pseudoalgebras. (English) Zbl 07643808 Forum Math. 35, No. 1, 147-185 (2023). MSC: 17B05 16W20 16D90 16W99 17B69 20G43 PDF BibTeX XML Cite \textit{Z. Wu}, Forum Math. 35, No. 1, 147--185 (2023; Zbl 07643808) Full Text: DOI arXiv OpenURL
Takenaka, Ryo Vertex algebraic construction of modules for twisted affine Lie algebras of type \(A_{2l}^{(2)}\). (English) Zbl 07628603 J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023). MSC: 17B67 17B69 05A19 PDF BibTeX XML Cite \textit{R. Takenaka}, J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023; Zbl 07628603) Full Text: DOI arXiv OpenURL
Mugnolo, Delio; Plümer, Marvin On torsional rigidity and ground-state energy of compact quantum graphs. (English) Zbl 07620713 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023). MSC: 35R02 05C50 35J05 35J25 35P15 81Q35 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{M. Plümer}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023; Zbl 07620713) Full Text: DOI arXiv OpenURL
Jiao, Xiangyu; Nagatomo, Kiyokazu; Sakai, Yuichi; Shimakura, Hiroki Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16. (English) Zbl 07615773 J. Algebra 614, 330-361 (2023). MSC: 17-XX PDF BibTeX XML Cite \textit{X. Jiao} et al., J. Algebra 614, 330--361 (2023; Zbl 07615773) Full Text: DOI OpenURL
Hong, Yanyong Central extensions and conformal derivations of a class of Lie conformal algebras. (English) Zbl 07622560 Linear Multilinear Algebra 70, No. 18, 3577-3598 (2022). MSC: 17B40 17B65 17B68 17B69 PDF BibTeX XML Cite \textit{Y. Hong}, Linear Multilinear Algebra 70, No. 18, 3577--3598 (2022; Zbl 07622560) Full Text: DOI arXiv OpenURL
Adamović, Dražen; Jandrić, Berislav; Radobolja, Gordan The \(N = 1\) super Heisenberg-Virasoro vertex algebra at level zero. (English) Zbl 07608442 J. Algebra Appl. 21, No. 12, Article ID 2350003, 26 p. (2022). MSC: 17B69 17B20 17B65 PDF BibTeX XML Cite \textit{D. Adamović} et al., J. Algebra Appl. 21, No. 12, Article ID 2350003, 26 p. (2022; Zbl 07608442) Full Text: DOI arXiv OpenURL
Futorny, Vyacheslav; Hernández Morales, Oscar Armando; Ramirez, Luis Enrique Simple modules for affine vertex algebras in the minimal nilpotent orbit. (English) Zbl 1498.17015 Int. Math. Res. Not. 2022, No. 20, 15788-15825 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B69 PDF BibTeX XML Cite \textit{V. Futorny} et al., Int. Math. Res. Not. 2022, No. 20, 15788--15825 (2022; Zbl 1498.17015) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Linshaw, Andrew R. Trialities of orthosymplectic \(\mathcal{W} \)-algebras. (English) Zbl 07605926 Adv. Math. 409 B, Article ID 108678, 79 p. (2022). Reviewer: Robert McRae (Beijing) MSC: 18M20 17B69 17B67 81R10 81T40 PDF BibTeX XML Cite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Adv. Math. 409 B, Article ID 108678, 79 p. (2022; Zbl 07605926) Full Text: DOI arXiv OpenURL
Gross, Jacob; Joyce, Dominic; Tanaka, Yuuji Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories. (English) Zbl 07602670 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14D20 17B69 16G20 PDF BibTeX XML Cite \textit{J. Gross} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022; Zbl 07602670) Full Text: DOI arXiv OpenURL
Chen, Fulin; Li, Huansheng; Yu, Nina Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras. (English) Zbl 07594492 J. Algebra 611, 110-148 (2022). MSC: 17B67 17B69 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Algebra 611, 110--148 (2022; Zbl 07594492) Full Text: DOI arXiv OpenURL
Jiao, Xiangyu; Zheng, Wen Vertex operator algebras generated by two Ising vectors. (English) Zbl 07588369 J. Algebra 610, 546-570 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{X. Jiao} and \textit{W. Zheng}, J. Algebra 610, 546--570 (2022; Zbl 07588369) Full Text: DOI arXiv OpenURL
Lin, Xingjun Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras. (English) Zbl 1503.17027 J. Algebra 608, 645-672 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{X. Lin}, J. Algebra 608, 645--672 (2022; Zbl 1503.17027) Full Text: DOI arXiv OpenURL
Li, Haisheng; Yu, Nina On a family of vertex operator superalgebras. (English) Zbl 1500.17024 J. Algebra 608, 290-324 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{H. Li} and \textit{N. Yu}, J. Algebra 608, 290--324 (2022; Zbl 1500.17024) Full Text: DOI arXiv OpenURL
Kolesnikov, P. S.; Panasenko, A. S. Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules. (English) Zbl 07559648 J. Algebra Appl. 21, No. 7, Article ID 2250138, 12 p. (2022). Reviewer: Chia Zargeh (São Paulo) MSC: 17B63 17B69 17A61 PDF BibTeX XML Cite \textit{P. S. Kolesnikov} and \textit{A. S. Panasenko}, J. Algebra Appl. 21, No. 7, Article ID 2250138, 12 p. (2022; Zbl 07559648) Full Text: DOI arXiv OpenURL
Dong, Chongying; Ren, Li; Yang, Meiling Super orbifold theory. (English) Zbl 07557149 Adv. Math. 405, Article ID 108481, 34 p. (2022). MSC: 17Bxx 81Rxx 81Txx PDF BibTeX XML Cite \textit{C. Dong} et al., Adv. Math. 405, Article ID 108481, 34 p. (2022; Zbl 07557149) Full Text: DOI arXiv OpenURL
Kolesnikov, P. S.; Kozlov, R. A. Standard bases for the universal associative conformal envelopes of Kac-Moody conformal algebras. (English) Zbl 07550123 Algebr. Represent. Theory 25, No. 4, 847-867 (2022). MSC: 17A61 17B35 17B69 PDF BibTeX XML Cite \textit{P. S. Kolesnikov} and \textit{R. A. Kozlov}, Algebr. Represent. Theory 25, No. 4, 847--867 (2022; Zbl 07550123) Full Text: DOI arXiv OpenURL
Qi, Fei First cohomologies of affine, Virasoro, and lattice vertex operator algebras. (English) Zbl 07544193 Lett. Math. Phys. 112, No. 3, Paper No. 56, 52 p. (2022). MSC: 17B69 16E40 PDF BibTeX XML Cite \textit{F. Qi}, Lett. Math. Phys. 112, No. 3, Paper No. 56, 52 p. (2022; Zbl 07544193) Full Text: DOI arXiv OpenURL
Moriwaki, Yuto Quantum coordinate ring in WZW model and affine vertex algebra extensions. (English) Zbl 07542653 Sel. Math., New Ser. 28, No. 4, Paper No. 68, 49 p. (2022). MSC: 17B69 17B81 81R50 PDF BibTeX XML Cite \textit{Y. Moriwaki}, Sel. Math., New Ser. 28, No. 4, Paper No. 68, 49 p. (2022; Zbl 07542653) Full Text: DOI arXiv OpenURL
Dong, Chongying; Xu, Feng; Yu, Nina \(S\)-matrix in permutation orbifolds. (English) Zbl 07541268 J. Algebra 606, 851-876 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{C. Dong} et al., J. Algebra 606, 851--876 (2022; Zbl 07541268) Full Text: DOI arXiv OpenURL
Li, Haisheng; Mu, Qiang Vertex superalgebras over fields of prime characteristic. (English) Zbl 07541263 J. Algebra 606, 700-741 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{H. Li} and \textit{Q. Mu}, J. Algebra 606, 700--741 (2022; Zbl 07541263) Full Text: DOI OpenURL
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Invariant Hermitian forms on vertex algebras. (English) Zbl 1497.17038 Commun. Contemp. Math. 24, No. 5, Article ID 2150059, 41 p. (2022). MSC: 17B69 17B68 PDF BibTeX XML Cite \textit{V. G. Kac} et al., Commun. Contemp. Math. 24, No. 5, Article ID 2150059, 41 p. (2022; Zbl 1497.17038) Full Text: DOI arXiv OpenURL
Du, Fang; Wang, Hao Twisted representations for \(\mathcal{S}\)-local vertex operator algebras. (English) Zbl 07517774 Commun. Algebra 50, No. 6, 2571-2583 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{F. Du} and \textit{H. Wang}, Commun. Algebra 50, No. 6, 2571--2583 (2022; Zbl 07517774) Full Text: DOI OpenURL
Han, Xiu; Wang, Dengyin; Xia, Chunguang Representations of Lie conformal algebras related to Galilean conformal algebras. (English) Zbl 07517765 Commun. Algebra 50, No. 6, 2427-2438 (2022). MSC: 17B10 17B65 17B68 17B69 PDF BibTeX XML Cite \textit{X. Han} et al., Commun. Algebra 50, No. 6, 2427--2438 (2022; Zbl 07517765) Full Text: DOI OpenURL
Creutzig, Thomas; Rupert, Matthew Uprolling unrolled quantum groups. (English) Zbl 1495.17018 Commun. Contemp. Math. 24, No. 4, Article ID 2150023, 27 p. (2022). Reviewer: Robert McRae (Beijing) MSC: 17B37 17B69 18M15 PDF BibTeX XML Cite \textit{T. Creutzig} and \textit{M. Rupert}, Commun. Contemp. Math. 24, No. 4, Article ID 2150023, 27 p. (2022; Zbl 1495.17018) Full Text: DOI arXiv OpenURL
Jing, Naihuan; Liu, Ning The Green polynomials via vertex operators. (English) Zbl 07517056 J. Pure Appl. Algebra 226, No. 8, Article ID 107032, 17 p. (2022). MSC: 17B69 05E10 05E05 PDF BibTeX XML Cite \textit{N. Jing} and \textit{N. Liu}, J. Pure Appl. Algebra 226, No. 8, Article ID 107032, 17 p. (2022; Zbl 07517056) Full Text: DOI arXiv OpenURL
Gross, Jacob; Upmeier, Markus Vertex F-algebra structures on the complex oriented homology of H-spaces. (English) Zbl 07517046 J. Pure Appl. Algebra 226, No. 8, Article ID 107019, 13 p. (2022). MSC: 17B69 55N20 PDF BibTeX XML Cite \textit{J. Gross} and \textit{M. Upmeier}, J. Pure Appl. Algebra 226, No. 8, Article ID 107019, 13 p. (2022; Zbl 07517046) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Linshaw, Andrew R. Trialities of \(\mathcal{W} \)-algebras. (English) Zbl 07512764 Camb. J. Math. 10, No. 1, 69-194 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Camb. J. Math. 10, No. 1, 69--194 (2022; Zbl 07512764) Full Text: DOI arXiv OpenURL
Mu, Qiang Smash product construction of modular lattice vertex algebras. (English) Zbl 07510578 Electron Res. Arch. 30, No. 1, 204-220 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{Q. Mu}, Electron Res. Arch. 30, No. 1, 204--220 (2022; Zbl 07510578) Full Text: DOI OpenURL
McRae, Robert On semisimplicity of module categories for finite non-zero index vertex operator subalgebras. (English) Zbl 07502546 Lett. Math. Phys. 112, No. 2, Paper No. 25, 28 p. (2022). MSC: 17B69 18M15 18M20 81R10 PDF BibTeX XML Cite \textit{R. McRae}, Lett. Math. Phys. 112, No. 2, Paper No. 25, 28 p. (2022; Zbl 07502546) Full Text: DOI OpenURL
Flandoli, Ilaria; Lentner, Simon D. Algebras of non-local screenings and diagonal Nichols algebras. (English) Zbl 07501814 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 018, 81 p. (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 17B69 PDF BibTeX XML Cite \textit{I. Flandoli} and \textit{S. D. Lentner}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 018, 81 p. (2022; Zbl 07501814) Full Text: DOI arXiv OpenURL
Chen, Fulin; Huang, Xin; Tan, Shaobin Orthogonal toroidal Lie algebras, vertex algebras and skew Howe duality. (English) Zbl 1497.17034 J. Lie Theory 32, No. 2, 301-312 (2022). MSC: 17B67 17B69 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Lie Theory 32, No. 2, 301--312 (2022; Zbl 1497.17034) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{T. Creutzig} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022; Zbl 1502.17026) Full Text: DOI arXiv OpenURL
Adamović, Dražen; Milas, Antun; Wang, Qing On parafermion vertex algebras of \(\mathfrak{sl}(2)\) and \(\mathfrak{sl}(3)\) at level \(-\frac{3}{2}\). (English) Zbl 1490.17029 Commun. Contemp. Math. 24, No. 1, Article ID 2050086, 23 p. (2022). MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{D. Adamović} et al., Commun. Contemp. Math. 24, No. 1, Article ID 2050086, 23 p. (2022; Zbl 1490.17029) Full Text: DOI OpenURL
Dong, Chongying; Xu, Feng; Yu, Nina Permutation orbifolds and associative algebras. (English) Zbl 1490.17032 Sci. China, Math. 65, No. 2, 259-268 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{C. Dong} et al., Sci. China, Math. 65, No. 2, 259--268 (2022; Zbl 1490.17032) Full Text: DOI arXiv OpenURL
Han, Jianzhi; Li, Haisheng; Xiao, Yukun Cocommutative vertex bialgebras. (English) Zbl 1484.17041 J. Algebra 598, 536-569 (2022). MSC: 17B69 17B68 16T10 PDF BibTeX XML Cite \textit{J. Han} et al., J. Algebra 598, 536--569 (2022; Zbl 1484.17041) Full Text: DOI arXiv OpenURL
Behzad, Ommolbanin; Contiero, André; Martins, David On the vertex operator representation of Lie algebras of matrices. (English) Zbl 1487.14104 J. Algebra 597, 47-74 (2022). Reviewer: Letterio Gatto (Torino) MSC: 14M15 17B10 17B69 15A75 05E05 PDF BibTeX XML Cite \textit{O. Behzad} et al., J. Algebra 597, 47--74 (2022; Zbl 1487.14104) Full Text: DOI arXiv OpenURL
Behzad, Ommolbanin; Contiero, André; Gatto, Letterio; Martins, Renato Vidal Polynomial ring representations of endomorphisms of exterior powers. (English) Zbl 1486.14065 Collect. Math. 73, No. 1, 107-133 (2022). Reviewer: Luca Chiantini (Siena) MSC: 14M15 15A75 17B69 05E05 PDF BibTeX XML Cite \textit{O. Behzad} et al., Collect. Math. 73, No. 1, 107--133 (2022; Zbl 1486.14065) Full Text: DOI arXiv OpenURL
Behzad, Ommolbanin; Gatto, Letterio Bosonic and fermionic representations of endomorphisms of exterior algebras. (English) Zbl 1487.15033 Fundam. Math. 256, No. 3, 307-331 (2022). Reviewer: Stefano Capparelli (Roma) MSC: 15A75 17B69 14M15 05E05 PDF BibTeX XML Cite \textit{O. Behzad} and \textit{L. Gatto}, Fundam. Math. 256, No. 3, 307--331 (2022; Zbl 1487.15033) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Kanade, Shashank; McRae, Robert Gluing vertex algebras. (English) Zbl 1500.17023 Adv. Math. 396, Article ID 108174, 72 p. (2022). MSC: 17B69 18M15 81R10 PDF BibTeX XML Cite \textit{T. Creutzig} et al., Adv. Math. 396, Article ID 108174, 72 p. (2022; Zbl 1500.17023) Full Text: DOI arXiv OpenURL
Kodera, Ryosuke; Ueda, Mamoru Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras. (English) Zbl 07464294 Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022). MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{R. Kodera} and \textit{M. Ueda}, Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022; Zbl 07464294) Full Text: DOI arXiv OpenURL
Butorac, Marijana; Kožić, Slaven Principal subspaces for the quantum affine vertex algebra in type \(A_1^{( 1 )}\). (English) Zbl 07461228 J. Pure Appl. Algebra 226, No. 6, Article ID 106973, 14 p. (2022). MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{M. Butorac} and \textit{S. Kožić}, J. Pure Appl. Algebra 226, No. 6, Article ID 106973, 14 p. (2022; Zbl 07461228) Full Text: DOI arXiv OpenURL
Jing, Naihuan; Wang, Qianbao; Zhang, Honglian Level -1/2 realization of quantum \(N\)-toroidal algebra in type \(C_n\). (English) Zbl 1498.17027 Algebra Colloq. 29, No. 1, 79-98 (2022). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{N. Jing} et al., Algebra Colloq. 29, No. 1, 79--98 (2022; Zbl 1498.17027) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Kovalchuk, Vladimir; Linshaw, Andrew R. Generalized parafermions of orthogonal type. (English) Zbl 1495.17039 J. Algebra 593, 178-192 (2022). MSC: 17B69 PDF BibTeX XML Cite \textit{T. Creutzig} et al., J. Algebra 593, 178--192 (2022; Zbl 1495.17039) Full Text: DOI arXiv OpenURL
Chigira, Naoki; Lam, Ching Hung; Miyamoto, Masahiko Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra. (English) Zbl 1501.17025 J. Algebra 593, 26-71 (2022). Reviewer: Sven Möller (Piscataway) MSC: 17B69 PDF BibTeX XML Cite \textit{N. Chigira} et al., J. Algebra 593, 26--71 (2022; Zbl 1501.17025) Full Text: DOI arXiv OpenURL
Sato, Ryo Kazama-Suzuki coset construction and its inverse. (English) Zbl 1490.17038 J. Algebra 592, 435-476 (2022). Reviewer: Marijana Butorac (Rijeka) MSC: 17B69 17B10 17B65 PDF BibTeX XML Cite \textit{R. Sato}, J. Algebra 592, 435--476 (2022; Zbl 1490.17038) Full Text: DOI arXiv OpenURL
Chen, Fulin; Liao, Xiaoling; Tan, Shaobin; Wang, Qing \((G, \chi_\varphi )\)-equivariant \(\varphi \)-coordinated quasi modules for vertex algebras. (English) Zbl 07420013 J. Algebra 590, 26-60 (2022). MSC: 17B65 17B69 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Algebra 590, 26--60 (2022; Zbl 07420013) Full Text: DOI arXiv OpenURL
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.; Vignoli, Veronica Poisson vertex algebra cohomology and differential Harrison cohomology. (English) Zbl 1497.17037 Alekseev, Anton (ed.) et al., Representation theory, mathematical physics, and integrable systems. In honor of Nicolai Reshetikhin. Cham: Birkhäuser. Prog. Math. 340, 39-69 (2021). MSC: 17B69 17B63 PDF BibTeX XML Cite \textit{B. Bakalov} et al., Prog. Math. 340, 39--69 (2021; Zbl 1497.17037) Full Text: DOI arXiv OpenURL
Chen, Hsian-Yang; Lam, Ching Hung Fourvolutions and automorphism groups of orbifold lattice vertex operator algebras. (English) Zbl 1490.17031 Taiwanese J. Math. 25, No. 6, 1173-1185 (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{H.-Y. Chen} and \textit{C. H. Lam}, Taiwanese J. Math. 25, No. 6, 1173--1185 (2021; Zbl 1490.17031) Full Text: DOI arXiv OpenURL
Yamada, Hiromichi; Yamauchi, Hiroshi Simple current extensions of tensor products of vertex operator algebras. (English) Zbl 1485.81040 Int. Math. Res. Not. 2021, No. 16, 12778-12807 (2021). MSC: 81R15 17B69 47A80 18M20 81R25 PDF BibTeX XML Cite \textit{H. Yamada} and \textit{H. Yamauchi}, Int. Math. Res. Not. 2021, No. 16, 12778--12807 (2021; Zbl 1485.81040) Full Text: DOI arXiv OpenURL
Urano, Satoru A composite order generalization of modular moonshine. (English) Zbl 1483.11080 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 110, 15 p. (2021). MSC: 11F22 11F85 17B69 20C11 20C20 PDF BibTeX XML Cite \textit{S. Urano}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 110, 15 p. (2021; Zbl 1483.11080) Full Text: DOI arXiv OpenURL
Arakawa, Tomoyuki; Moreau, Anne Arc spaces and chiral symplectic cores. (English) Zbl 1490.17030 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 795-829 (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{T. Arakawa} and \textit{A. Moreau}, Publ. Res. Inst. Math. Sci. 57, No. 3--4, 795--829 (2021; Zbl 1490.17030) Full Text: DOI arXiv OpenURL
Galt, Alexey; Joshi, Vijay; Mamontov, Andrey; Shpectorov, Sergey; Staroletov, Alexey Double axes and subalgebras of monster type in Matsuo algebras. (English) Zbl 1485.17030 Commun. Algebra 49, No. 10, 4208-4248 (2021). MSC: 17B69 20F29 PDF BibTeX XML Cite \textit{A. Galt} et al., Commun. Algebra 49, No. 10, 4208--4248 (2021; Zbl 1485.17030) Full Text: DOI arXiv OpenURL
Bae, Jin-Beom; Harvey, Jeffrey A.; Lee, Kimyeong; Lee, Sungjay; Rayhaun, Brandon C. Conformal field theories with sporadic group symmetry. (English) Zbl 1503.81056 Commun. Math. Phys. 388, No. 1, 1-105 (2021). MSC: 81T40 17B69 20D08 81R15 17B67 11F60 PDF BibTeX XML Cite \textit{J.-B. Bae} et al., Commun. Math. Phys. 388, No. 1, 1--105 (2021; Zbl 1503.81056) Full Text: DOI arXiv OpenURL
Babichenko, Andrei; Kawasetsu, Kazuya; Ridout, David; Stewart, William Representations of the Nappi-Witten vertex operator algebra. (English) Zbl 1494.17009 Lett. Math. Phys. 111, No. 5, Paper No. 131, 30 p. (2021). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B10 17B67 81T40 PDF BibTeX XML Cite \textit{A. Babichenko} et al., Lett. Math. Phys. 111, No. 5, Paper No. 131, 30 p. (2021; Zbl 1494.17009) Full Text: DOI arXiv OpenURL
Arakawa, Tomoyuki; Kawasetsu, Kazuya; Sebag, Julien A question of Joseph Ritt from the point of view of vertex algebras. (English) Zbl 1477.12002 J. Algebra 588, 118-128 (2021). MSC: 12H05 16S32 17B69 PDF BibTeX XML Cite \textit{T. Arakawa} et al., J. Algebra 588, 118--128 (2021; Zbl 1477.12002) Full Text: DOI arXiv OpenURL
Young, Charles An analog of the Feigin-Frenkel homomorphism for double loop algebras. (English) Zbl 1482.17059 J. Algebra 588, 1-76 (2021). Reviewer: Stefano Capparelli (Roma) MSC: 17B69 PDF BibTeX XML Cite \textit{C. Young}, J. Algebra 588, 1--76 (2021; Zbl 1482.17059) Full Text: DOI arXiv OpenURL
Hong, Yanyong Classifying complements for conformal algebras. (English) Zbl 1502.17021 Commun. Algebra 49, No. 8, 3369-3379 (2021). MSC: 17B65 17B05 17B69 PDF BibTeX XML Cite \textit{Y. Hong}, Commun. Algebra 49, No. 8, 3369--3379 (2021; Zbl 1502.17021) Full Text: DOI arXiv OpenURL
Dai, Xuanzhong Chiral differential operators on the upper half plane and modular forms. (English) Zbl 1494.11042 Adv. Math. 390, Article ID 107957, 32 p. (2021). Reviewer: Matthew Krauel (Sacramento) MSC: 11F22 17B69 14F40 PDF BibTeX XML Cite \textit{X. Dai}, Adv. Math. 390, Article ID 107957, 32 p. (2021; Zbl 1494.11042) Full Text: DOI arXiv OpenURL
Sugimoto, Shoma On the Feigin-Tipunin conjecture. (English) Zbl 1473.81166 Sel. Math., New Ser. 27, No. 5, Paper No. 86, 43 p. (2021). MSC: 81T40 17B20 17B69 PDF BibTeX XML Cite \textit{S. Sugimoto}, Sel. Math., New Ser. 27, No. 5, Paper No. 86, 43 p. (2021; Zbl 1473.81166) Full Text: DOI arXiv OpenURL
Radobolja, G. Galilean \(W_3\) algebra. (English) Zbl 1485.17031 J. Math. Phys. 62, No. 8, 081701, 17 p. (2021). MSC: 17B69 53C18 17B20 17B10 22E47 PDF BibTeX XML Cite \textit{G. Radobolja}, J. Math. Phys. 62, No. 8, 081701, 17 p. (2021; Zbl 1485.17031) Full Text: DOI arXiv OpenURL
Guo, Hongyan Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra. (English) Zbl 07383358 Electron Res. Arch. 29, No. 4, 2673-2685 (2021). MSC: 17B68 17B69 PDF BibTeX XML Cite \textit{H. Guo}, Electron Res. Arch. 29, No. 4, 2673--2685 (2021; Zbl 07383358) Full Text: DOI arXiv OpenURL
van Ekeren, Jethro; Heluani, Reimundo Chiral homology of elliptic curves and the Zhu algebra. (English) Zbl 1482.17058 Commun. Math. Phys. 386, No. 1, 495-550 (2021). MSC: 17B69 14H52 PDF BibTeX XML Cite \textit{J. van Ekeren} and \textit{R. Heluani}, Commun. Math. Phys. 386, No. 1, 495--550 (2021; Zbl 1482.17058) Full Text: DOI arXiv OpenURL
Guo, Hongyan Algebra of \(q\)-difference operators, affine vertex algebras, and their modules. (English) Zbl 1476.17007 J. Algebra 585, 69-88 (2021). MSC: 17B37 17B68 17B69 PDF BibTeX XML Cite \textit{H. Guo}, J. Algebra 585, 69--88 (2021; Zbl 1476.17007) Full Text: DOI arXiv OpenURL
Adamović, Dražen; Kontrec, Ana Classification of irreducible modules for Bershadsky-Polyakov algebra at certain levels. (English) Zbl 1476.17023 J. Algebra Appl. 20, No. 6, Article ID 2150102, 39 p. (2021). Reviewer: Sven Möller (Piscataway) MSC: 17B69 PDF BibTeX XML Cite \textit{D. Adamović} and \textit{A. Kontrec}, J. Algebra Appl. 20, No. 6, Article ID 2150102, 39 p. (2021; Zbl 1476.17023) Full Text: DOI arXiv OpenURL
Feigin, B.; Jimbo, M.; Mukhin, E.; Vilkoviskiy, I. Deformations of \(\mathcal{W}\) algebras via quantum toroidal algebras. (English) Zbl 1481.17022 Sel. Math., New Ser. 27, No. 4, Paper No. 52, 62 p. (2021). Reviewer: Marijana Butorac (Rijeka) MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{B. Feigin} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 52, 62 p. (2021; Zbl 1481.17022) Full Text: DOI arXiv OpenURL
Kožić, Slaven On the quantum affine vertex algebra associated with trigonometric \(R\)-matrix. (English) Zbl 07364460 Sel. Math., New Ser. 27, No. 3, Paper No. 45, 49 p. (2021). MSC: 17B37 17B69 81R50 PDF BibTeX XML Cite \textit{S. Kožić}, Sel. Math., New Ser. 27, No. 3, Paper No. 45, 49 p. (2021; Zbl 07364460) Full Text: DOI arXiv OpenURL
Nikolov, Nikolay M. Semi-differential operators and the algebra of operator product expansion of quantum fields. (English) Zbl 1462.81149 Commun. Math. Phys. 384, No. 1, 201-244 (2021). MSC: 81T20 18M60 47L65 81R15 17B69 41A65 PDF BibTeX XML Cite \textit{N. M. Nikolov}, Commun. Math. Phys. 384, No. 1, 201--244 (2021; Zbl 1462.81149) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Genra, Naoki; Nakatsuka, Shigenori Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras. (English) Zbl 1495.17038 Adv. Math. 383, Article ID 107685, 52 p. (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{T. Creutzig} et al., Adv. Math. 383, Article ID 107685, 52 p. (2021; Zbl 1495.17038) Full Text: DOI arXiv OpenURL
Adamović, Dražen; Creutzig, Thomas; Genra, Naoki; Yang, Jinwei The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\). (English) Zbl 1461.81107 Commun. Math. Phys. 383, No. 2, 1207-1241 (2021). MSC: 81T40 81Q10 81R15 17B69 81R10 PDF BibTeX XML Cite \textit{D. Adamović} et al., Commun. Math. Phys. 383, No. 2, 1207--1241 (2021; Zbl 1461.81107) Full Text: DOI arXiv OpenURL
Hong, Yanyong; Yuan, Lamei Unified products of Leibniz conformal algebras. (English) Zbl 1473.17008 Commun. Algebra 49, No. 5, 2074-2090 (2021). MSC: 17A32 17A60 17B69 PDF BibTeX XML Cite \textit{Y. Hong} and \textit{L. Yuan}, Commun. Algebra 49, No. 5, 2074--2090 (2021; Zbl 1473.17008) Full Text: DOI arXiv OpenURL
Whybrow, Madeleine An infinite family of axial algebras. (English) Zbl 1481.17056 J. Algebra 577, 1-31 (2021). MSC: 17B69 20D08 PDF BibTeX XML Cite \textit{M. Whybrow}, J. Algebra 577, 1--31 (2021; Zbl 1481.17056) Full Text: DOI arXiv OpenURL
Song, Bailin The global sections of chiral de Rham complexes on compact Ricci-flat Kähler manifolds. (English) Zbl 1460.81040 Commun. Math. Phys. 382, No. 1, 351-379 (2021). MSC: 81R15 46M20 55N30 32S35 14F40 14J33 17B69 14J32 58A12 17B81 PDF BibTeX XML Cite \textit{B. Song}, Commun. Math. Phys. 382, No. 1, 351--379 (2021; Zbl 1460.81040) Full Text: DOI arXiv OpenURL
Carpentier, Sylvain; Suh, Uhi Rinn Supersymmetric bi-Hamiltonian systems. (English) Zbl 1466.35311 Commun. Math. Phys. 382, No. 1, 317-350 (2021). MSC: 35Q53 17B67 17B80 17B69 37J35 37K10 81R15 PDF BibTeX XML Cite \textit{S. Carpentier} and \textit{U. R. Suh}, Commun. Math. Phys. 382, No. 1, 317--350 (2021; Zbl 1466.35311) Full Text: DOI arXiv OpenURL
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Yangians versus minimal \(W\)-algebras: a surprising coincidence. (English) Zbl 1496.17011 Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021). Reviewer: Andrea Appel (Parma) MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{V. G. Kac} et al., Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021; Zbl 1496.17011) Full Text: DOI arXiv OpenURL
Gatto, Letterio; Salehyan, Parham Schubert derivations on the infinite wedge power. (English) Zbl 1467.14118 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 149-174 (2021). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14M15 15A75 05E05 17B69 PDF BibTeX XML Cite \textit{L. Gatto} and \textit{P. Salehyan}, Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 149--174 (2021; Zbl 1467.14118) Full Text: DOI arXiv OpenURL
Yamada, Hiromichi; Yamauchi, Hiroshi \(\mathbb{Z}_{2k}\)-code vertex operator algebras. (English) Zbl 1477.17089 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 1477.17089) Full Text: DOI arXiv OpenURL
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. Computation of cohomology of vertex algebras. (English) Zbl 07324372 Jpn. J. Math. (3) 16, No. 1, 81-154 (2021). MSC: 17B69 17B63 17B56 17B80 18M60 PDF BibTeX XML Cite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 16, No. 1, 81--154 (2021; Zbl 07324372) Full Text: DOI arXiv OpenURL
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi \(\mathbb{Z}_k\)-code vertex operator algebras. (English) Zbl 1481.17039 J. Math. Soc. Japan 73, No. 1, 185-209 (2021). MSC: 17B69 17B67 94B05 PDF BibTeX XML Cite \textit{T. Arakawa} et al., J. Math. Soc. Japan 73, No. 1, 185--209 (2021; Zbl 1481.17039) Full Text: DOI arXiv Euclid OpenURL
Linshaw, Andrew R. Universal two-parameter \(\mathcal{W}_\infty\)-algebra and vertex algebras of type \(\mathcal{W}(2, 3,\dots,N)\). (English) Zbl 1489.17025 Compos. Math. 157, No. 1, 12-82 (2021). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B67 17B68 81R10 PDF BibTeX XML Cite \textit{A. R. Linshaw}, Compos. Math. 157, No. 1, 12--82 (2021; Zbl 1489.17025) Full Text: DOI arXiv OpenURL
Arakawa, Tomoyuki; Jiang, Cuipo; Moreau, Anne Simplicity of vacuum modules and associated varieties. (Simplicité des algèbres vertex affines et variétés associées.) (English. French summary) Zbl 1489.17023 J. Éc. Polytech., Math. 8, 169-191 (2021). Reviewer: Sven Möller (Piscataway) MSC: 17B69 17B67 PDF BibTeX XML Cite \textit{T. Arakawa} et al., J. Éc. Polytech., Math. 8, 169--191 (2021; Zbl 1489.17023) Full Text: DOI arXiv OpenURL
Mason, Geoffrey; Nagatomo, Kiyokazu; Sakai, Yuichi Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited. (English) Zbl 1481.17050 Commun. Number Theory Phys. 15, No. 1, 59-90 (2021). MSC: 17B69 33C05 PDF BibTeX XML Cite \textit{G. Mason} et al., Commun. Number Theory Phys. 15, No. 1, 59--90 (2021; Zbl 1481.17050) Full Text: DOI arXiv OpenURL
Creutzig, Thomas; Jiang, Cuipo; Hunziker, Florencia Orosz; Ridout, David; Yang, Jinwei Tensor categories arising from the Virasoro algebra. (English) Zbl 1477.17084 Adv. Math. 380, Article ID 107601, 36 p. (2021). MSC: 17B69 17B68 81R10 18M15 18M20 PDF BibTeX XML Cite \textit{T. Creutzig} et al., Adv. Math. 380, Article ID 107601, 36 p. (2021; Zbl 1477.17084) Full Text: DOI arXiv OpenURL
van Ekeren, Jethro; Lam, Ching Hung; Möller, Sven; Shimakura, Hiroki Schellekens’ list and the very strange formula. (English) Zbl 1492.17027 Adv. Math. 380, Article ID 107567, 34 p. (2021). Reviewer: Matthew Krauel (Sacramento) MSC: 17B69 PDF BibTeX XML Cite \textit{J. van Ekeren} et al., Adv. Math. 380, Article ID 107567, 34 p. (2021; Zbl 1492.17027) Full Text: DOI arXiv OpenURL
Molev, A. I. On Segal-Sugawara vectors and Casimir elements for classical Lie algebras. (English) Zbl 1468.17037 Lett. Math. Phys. 111, No. 1, Paper No. 8, 23 p. (2021). MSC: 17B69 17B35 PDF BibTeX XML Cite \textit{A. I. Molev}, Lett. Math. Phys. 111, No. 1, Paper No. 8, 23 p. (2021; Zbl 1468.17037) Full Text: DOI arXiv OpenURL
Dong, Chongying; Zheng, Wen Uniqueness of VOA structure of \(3C\)-algebra and \(5A\)-algebra. (English) Zbl 1470.17016 J. Algebra 572, 76-110 (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{C. Dong} and \textit{W. Zheng}, J. Algebra 572, 76--110 (2021; Zbl 1470.17016) Full Text: DOI arXiv OpenURL
Lentner, Simon D. Quantum groups and Nichols algebras acting on conformal field theories. (English) Zbl 1461.81058 Adv. Math. 378, Article ID 107517, 72 p. (2021). Reviewer: Uwe Franz (Besançon) MSC: 17B37 81R50 81T40 16T05 17B69 PDF BibTeX XML Cite \textit{S. D. Lentner}, Adv. Math. 378, Article ID 107517, 72 p. (2021; Zbl 1461.81058) Full Text: DOI arXiv OpenURL
Milas, Antun; Penn, Michael; Sadowski, Christopher Permutation orbifolds of Virasoro vertex algebras and \(W\)-algebras. (English) Zbl 1479.17054 J. Algebra 570, 267-296 (2021). Reviewer: Lorenzo Panebianco (Roma) MSC: 17B69 PDF BibTeX XML Cite \textit{A. Milas} et al., J. Algebra 570, 267--296 (2021; Zbl 1479.17054) Full Text: DOI arXiv OpenURL
Jing, Naihuan; Kong, Fei; Li, Haisheng; Tan, Shaobin \((G,\chi_\phi)\)-equivariant \(\phi\)-coordinated quasi modules for nonlocal vertex algebras. (English) Zbl 1480.17026 J. Algebra 570, 24-74 (2021). Reviewer: Stefano Capparelli (Roma) MSC: 17B69 17B68 17B10 81R10 PDF BibTeX XML Cite \textit{N. Jing} et al., J. Algebra 570, 24--74 (2021; Zbl 1480.17026) Full Text: DOI arXiv OpenURL
Dong, Chongying; Ren, Li; Xu, Feng \(S\)-matrix in orbifold theory. (English) Zbl 1481.17043 J. Algebra 568, 139-159 (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{C. Dong} et al., J. Algebra 568, 139--159 (2021; Zbl 1481.17043) Full Text: DOI arXiv OpenURL
Molev, A. I. Center at the critical level for centralizers in type \(A\). (English) Zbl 1481.17053 J. Algebra 566, 163-186 (2021). MSC: 17B69 PDF BibTeX XML Cite \textit{A. I. Molev}, J. Algebra 566, 163--186 (2021; Zbl 1481.17053) Full Text: DOI arXiv OpenURL
Rodriguez Morales, Bely Logarithmic modules for chiral differential operators of nilmanifolds. (English) Zbl 1481.17054 J. Algebra 565, 1-32 (2021). MSC: 17B69 81R10 PDF BibTeX XML Cite \textit{B. Rodriguez Morales}, J. Algebra 565, 1--32 (2021; Zbl 1481.17054) Full Text: DOI arXiv OpenURL
Belavin, Vladimir; Gepner, Doron; Wenzl, Hans On \(\mathrm{SO}(N)\) spin vertex models. (English) Zbl 1473.81104 Nucl. Phys., B 959, Article ID 115160, 10 p. (2020). MSC: 81T11 17B69 81R15 PDF BibTeX XML Cite \textit{V. Belavin} et al., Nucl. Phys., B 959, Article ID 115160, 10 p. (2020; Zbl 1473.81104) Full Text: DOI arXiv OpenURL