Han, Jianzhi; Zhan, Yumeng On classification of irreducible conformal \(\mathfrak{B}(p)\)-modules of finite rank. (English) Zbl 07812441 J. Geom. Phys. 198, Article ID 105132, 5 p. (2024). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{J. Han} and \textit{Y. Zhan}, J. Geom. Phys. 198, Article ID 105132, 5 p. (2024; Zbl 07812441) Full Text: DOI
Xu, Zhongyin; Hong, Yanyong Algebraic constructions for left-symmetric conformal algebras. (English) Zbl 07808427 Commun. Algebra 52, No. 2, 865-883 (2024). MSC: 17A30 17A60 17B60 17B69 17D25 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Y. Hong}, Commun. Algebra 52, No. 2, 865--883 (2024; Zbl 07808427) Full Text: DOI arXiv
Wen, Jia Jia; Hong, Yan Yong Extending structures for Gel’fand-Dorfman bialgebras. (English) Zbl 07806023 Acta Math. Sin., Engl. Ser. 40, No. 2, 619-638 (2024). MSC: 17A30 17D25 17A60 17B69 PDFBibTeX XMLCite \textit{J. J. Wen} and \textit{Y. Y. Hong}, Acta Math. Sin., Engl. Ser. 40, No. 2, 619--638 (2024; Zbl 07806023) Full Text: DOI arXiv
Ueda, Mamoru Guay’s affine Yangians and non-rectangular \(W\)-algebras. (English) Zbl 07801736 Adv. Math. 438, Article ID 109468, 44 p. (2024). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{M. Ueda}, Adv. Math. 438, Article ID 109468, 44 p. (2024; Zbl 07801736) Full Text: DOI arXiv
Lee, Kimyeong; Sun, Kaiwen; Wang, Haowu On intermediate Lie algebra \(E_{7+1/2}\). (English) Zbl 07790344 Lett. Math. Phys. 114, No. 1, Paper No. 13, 33 p. (2024). MSC: 17B69 17B25 PDFBibTeX XMLCite \textit{K. Lee} et al., Lett. Math. Phys. 114, No. 1, Paper No. 13, 33 p. (2024; Zbl 07790344) Full Text: DOI arXiv OA License
Ballin, Andrew; Niu, Wenjun 3D mirror symmetry and the \(\beta\gamma\) VOA. (English) Zbl 07786183 Commun. Contemp. Math. 26, No. 1, Article ID 2250069, 52 p. (2024). MSC: 14-XX PDFBibTeX XMLCite \textit{A. Ballin} and \textit{W. Niu}, Commun. Contemp. Math. 26, No. 1, Article ID 2250069, 52 p. (2024; Zbl 07786183) Full Text: DOI arXiv
Jing, Naihuan; Kong, Fei; Li, Haisheng; Tan, Shaobin Deforming vertex algebras by vertex bialgebras. (English) Zbl 07786181 Commun. Contemp. Math. 26, No. 1, Article ID 2250067, 52 p. (2024). MSC: 17B69 17B68 17B10 17B37 PDFBibTeX XMLCite \textit{N. Jing} et al., Commun. Contemp. Math. 26, No. 1, Article ID 2250067, 52 p. (2024; Zbl 07786181) Full Text: DOI arXiv
Chen, Fulin; Ding, Lingen; Wang, Qing Vertex algebras and TKK algebras. (English) Zbl 07783372 J. Algebra 640, 147-173 (2024). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Algebra 640, 147--173 (2024; Zbl 07783372) Full Text: DOI arXiv
Das, Apurba Higher structures for Lie \(H\)-pseudoalgebras. arXiv:2403.10777 Preprint, arXiv:2403.10777 [math.RT] (2024). MSC: 17B56 17B69 18N40 18N25 BibTeX Cite \textit{A. Das}, ``Higher structures for Lie $H$-pseudoalgebras'', Preprint, arXiv:2403.10777 [math.RT] (2024) Full Text: arXiv OA License
Kawasetsu, Kazuya On the commutant of the principal subalgebra in the \(A_1\) lattice vertex algebra. (English) Zbl 07786339 Lett. Math. Phys. 113, No. 6, Paper No. 123, 18 p. (2023). MSC: 17B69 81T40 17B67 12H05 PDFBibTeX XMLCite \textit{K. Kawasetsu}, Lett. Math. Phys. 113, No. 6, Paper No. 123, 18 p. (2023; Zbl 07786339) Full Text: DOI arXiv
Liberati, José I. Cohomology of associative \(H\)-pseudoalgebras. (English) Zbl 07771760 Algebra Colloq. 30, No. 4, 541-554 (2023). MSC: 16E40 17B69 17B67 PDFBibTeX XMLCite \textit{J. I. Liberati}, Algebra Colloq. 30, No. 4, 541--554 (2023; Zbl 07771760) Full Text: DOI arXiv
Okado, Masato; Takenaka, Ryo Parafermionic bases of standard modules for twisted affine Lie algebras of type \(A_{2l-1}^{(2)}\), \(D_{L+1}^{(2)}\), \(E_6^{(2)}\) and \(D_4^{(3)}\). (English) Zbl 07768200 Algebr. Represent. Theory 26, No. 5, 1669-1690 (2023); correction ibid. 26, No. 5, 1691-1692 (2023). MSC: 17B67 17B69 05A19 PDFBibTeX XMLCite \textit{M. Okado} and \textit{R. Takenaka}, Algebr. Represent. Theory 26, No. 5, 1669--1690 (2023; Zbl 07768200) Full Text: DOI arXiv
Casarin, Luca A Feigin-Frenkel theorem with \(n\) singularities. (English) Zbl 07765303 Adv. Math. 434, Article ID 109335, 85 p. (2023). MSC: 17B67 17B69 17B65 PDFBibTeX XMLCite \textit{L. Casarin}, Adv. Math. 434, Article ID 109335, 85 p. (2023; Zbl 07765303) Full Text: DOI arXiv
Bakalov, Bojko; Elsinger, Jason; Kac, Victor G.; Todorov, Ivan Orbifolds of lattice vertex algebras. (English) Zbl 07751174 Jpn. J. Math. (3) 18, No. 2, 169-274 (2023). MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 18, No. 2, 169--274 (2023; Zbl 07751174) Full Text: DOI arXiv
Evans, David E.; Kawahigashi, Yasuyuki Subfactors and mathematical physics. (English) Zbl 07740542 Bull. Am. Math. Soc., New Ser. 60, No. 4, 459-482 (2023). MSC: 46L37 17B69 81R10 81T05 81T40 82B20 82B23 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{Y. Kawahigashi}, Bull. Am. Math. Soc., New Ser. 60, No. 4, 459--482 (2023; Zbl 07740542) Full Text: DOI arXiv
Guo, Hongyan; Li, Huaimin Restricted modules and associated vertex algebras of extended Heisenberg-Virasoro algebra. (English) Zbl 1523.17017 J. Algebra 635, 463-485 (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{H. Guo} and \textit{H. Li}, J. Algebra 635, 463--485 (2023; Zbl 1523.17017) Full Text: DOI arXiv
Höhn, Gerald; Mason, Geoffrey Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an \(N=4\) superconformal structure. (English) Zbl 07739749 Exp. Math. 32, No. 3, 502-504 (2023). MSC: 17B69 17B81 PDFBibTeX XMLCite \textit{G. Höhn} and \textit{G. Mason}, Exp. Math. 32, No. 3, 502--504 (2023; Zbl 07739749) Full Text: DOI arXiv
Chen, Fulin; Tan, Shaobin; Wang, Qing; Yu, Nina On toroidal vertex algebras. (English) Zbl 07733246 Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 129-144 (2023). MSC: 17B69 17B67 20Gxx 14D20 22Exx 20-03 14-03 22-03 01A60 01A61 PDFBibTeX XMLCite \textit{F. Chen} et al., in: Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao's birth. Singapore: World Scientific. 129--144 (2023; Zbl 07733246) Full Text: DOI
Li, Haisheng; Mu, Qiang \(\mathbb{N}\)-graded modules for \(\mathbb{Z}\)-graded modular vertex superalgebras. (English) Zbl 07725305 J. Algebra 633, 619-647 (2023). Reviewer: Sven Möller (Piscataway) MSC: 17B69 17B65 PDFBibTeX XMLCite \textit{H. Li} and \textit{Q. Mu}, J. Algebra 633, 619--647 (2023; Zbl 07725305) Full Text: DOI
Kiss, M. An Ambarzumian-type theorem on graphs with odd cycles. (English) Zbl 07721203 Ukr. Math. J. 74, No. 12, 1916-1923 (2023) and Ukr. Mat. Zh. 74, No. 12, 1679-1685 (2022). MSC: 81Q10 15A29 05C12 14C25 17B69 47A10 PDFBibTeX XMLCite \textit{M. Kiss}, Ukr. Math. J. 74, No. 12, 1916--1923 (2023; Zbl 07721203) Full Text: DOI arXiv
Carpi, Sebastiano; Gaudio, Tiziano; Giorgetti, Luca; Hillier, Robin Haploid algebras in \(C^*\)-tensor categories and the Schellekens list. (English) Zbl 07719653 Commun. Math. Phys. 402, No. 1, 169-212 (2023). MSC: 17B69 46L37 81T40 81R15 81R10 PDFBibTeX XMLCite \textit{S. Carpi} et al., Commun. Math. Phys. 402, No. 1, 169--212 (2023; Zbl 07719653) Full Text: DOI arXiv
Tan, Haijun Classification of simple locally finite modules over the affine-Virasoro algebras. (English) Zbl 1519.17013 J. Algebra 631, 738-755 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B65 17B67 17B68 17B69 17B81 PDFBibTeX XMLCite \textit{H. Tan}, J. Algebra 631, 738--755 (2023; Zbl 1519.17013) Full Text: DOI
Carpi, Sebastiano; Tomassini, Luca Energy bounds for vertex operator algebra extensions. (English) Zbl 1521.17072 Lett. Math. Phys. 113, No. 3, Paper No. 59, 24 p. (2023). MSC: 17B69 47N50 81T40 81T05 81R15 PDFBibTeX XMLCite \textit{S. Carpi} and \textit{L. Tomassini}, Lett. Math. Phys. 113, No. 3, Paper No. 59, 24 p. (2023; Zbl 1521.17072) Full Text: DOI arXiv
Addabbo, Darlayne; Barron, Katrina The level two Zhu algebra for the Heisenberg vertex operator algebra. (English) Zbl 1521.17068 Commun. Algebra 51, No. 8, 3405-3463 (2023). MSC: 17B69 17B68 17B81 81R10 81T40 81T60 PDFBibTeX XMLCite \textit{D. Addabbo} and \textit{K. Barron}, Commun. Algebra 51, No. 8, 3405--3463 (2023; Zbl 1521.17068) Full Text: DOI arXiv
Moriwaki, Yuto Two-dimensional conformal field theory, full vertex algebra and current-current deformation. (English) Zbl 07695597 Adv. Math. 427, Article ID 109125, 74 p. (2023). MSC: 17B69 81T40 81R10 PDFBibTeX XMLCite \textit{Y. Moriwaki}, Adv. Math. 427, Article ID 109125, 74 p. (2023; Zbl 07695597) Full Text: DOI
Li, Haisheng; Sun, Jiancai Twisted regular representations for vertex operator algebras. (English) Zbl 07693118 J. Algebra 629, 124-161 (2023). MSC: 17B69 PDFBibTeX XMLCite \textit{H. Li} and \textit{J. Sun}, J. Algebra 629, 124--161 (2023; Zbl 07693118) Full Text: DOI arXiv
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap. (English) Zbl 1522.81098 Proc. Am. Math. Soc. 151, No. 8, 3439-3455 (2023). MSC: 81Q35 34B45 05C50 35P15 35J05 05C69 47B40 39A13 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., Proc. Am. Math. Soc. 151, No. 8, 3439--3455 (2023; Zbl 1522.81098) Full Text: DOI arXiv
Creutzig, Thomas; Ridout, David; Rupert, Matthew A Kazhdan-Lusztig correspondence for \(L_{-\frac{3}{2}}(\mathfrak{sl}_3)\). (English) Zbl 07681361 Commun. Math. Phys. 400, No. 1, 639-682 (2023). MSC: 17B69 17B37 81R50 18M05 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Math. Phys. 400, No. 1, 639--682 (2023; Zbl 07681361) Full Text: DOI arXiv
Futorny, Vyacheslav; Morales, Oscar; Křižka, Libor Admissible representations of simple affine vertex algebras. (English) Zbl 1519.17010 J. Algebra 628, 22-70 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B08 17B67 17B69 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 628, 22--70 (2023; Zbl 1519.17010) Full Text: DOI arXiv
Betsumiya, Koichi; Lam, Ching Hung; Shimakura, Hiroki Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge 24. (English) Zbl 1523.17056 Commun. Math. Phys. 399, No. 3, 1773-1810 (2023). Reviewer: Slaven Kozic (Zagreb) MSC: 17B69 20B25 PDFBibTeX XMLCite \textit{K. Betsumiya} et al., Commun. Math. Phys. 399, No. 3, 1773--1810 (2023; Zbl 1523.17056) Full Text: DOI arXiv
Adamović, Dražen; Pedić Tomić, Veronika Whittaker modules for \(\widehat{\mathfrak{gl}}\) and \(\mathcal{W}_{1+\infty}\)-modules which are not tensor products. (English) Zbl 1514.17031 Lett. Math. Phys. 113, No. 2, Paper No. 39, 32 p. (2023). MSC: 17B69 17B20 17B65 PDFBibTeX XMLCite \textit{D. Adamović} and \textit{V. Pedić Tomić}, Lett. Math. Phys. 113, No. 2, Paper No. 39, 32 p. (2023; Zbl 1514.17031) Full Text: DOI arXiv
Al-Ali, Masoumah; Linshaw, Andrew R. Orbifolds of Gaiotto-Rapčák \(Y\)-algebras. (English) Zbl 1521.17069 J. Algebra 625, 1-27 (2023). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B68 81R10 PDFBibTeX XMLCite \textit{M. Al-Ali} and \textit{A. R. Linshaw}, J. Algebra 625, 1--27 (2023; Zbl 1521.17069) Full Text: DOI arXiv
Govindarajan, Suresh; Sharma, Sachin S.; Viswanath, Sankaran The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras. (English) Zbl 1521.17053 Algebr. Represent. Theory 26, No. 2, 491-512 (2023). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{S. Govindarajan} et al., Algebr. Represent. Theory 26, No. 2, 491--512 (2023; Zbl 1521.17053) Full Text: DOI arXiv
Xu, Maosen; Hong, Yanyong Finite irreducible modules of a class of \(\mathbb{Z}^+\)-graded Lie conformal algebras. (English) Zbl 1521.17016 J. Pure Appl. Algebra 227, No. 8, Article ID 107351, 16 p. (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{M. Xu} and \textit{Y. Hong}, J. Pure Appl. Algebra 227, No. 8, Article ID 107351, 16 p. (2023; Zbl 1521.17016) Full Text: DOI arXiv
Li, Haisheng Regular representations and \(A_n (V)-A_m (V)\) bimodules. (English) Zbl 1521.17081 J. Pure Appl. Algebra 227, No. 8, Article ID 107347, 25 p. (2023). MSC: 17B69 17B68 PDFBibTeX XMLCite \textit{H. Li}, J. Pure Appl. Algebra 227, No. 8, Article ID 107347, 25 p. (2023; Zbl 1521.17081) Full Text: DOI arXiv
Mason, Geoffrey; Mertens, Michael H. 1-point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras. (English) Zbl 1521.17083 Trans. Am. Math. Soc. 376, No. 5, 3663-3693 (2023). MSC: 17B69 11F11 PDFBibTeX XMLCite \textit{G. Mason} and \textit{M. H. Mertens}, Trans. Am. Math. Soc. 376, No. 5, 3663--3693 (2023; Zbl 1521.17083) Full Text: DOI arXiv
Wu, Ying; Wang, Huidong; Xia, Chunguang Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras. (English) Zbl 1518.17015 Commun. Algebra 51, No. 5, 1944-1954 (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{Y. Wu} et al., Commun. Algebra 51, No. 5, 1944--1954 (2023; Zbl 1518.17015) Full Text: DOI
Addabbo, Darlayne; Barron, Katrina On generators and relations for higher level Zhu algebras and applications. (English) Zbl 1512.17047 J. Algebra 623, 496-540 (2023). MSC: 17B68 17B69 81R10 81T40 PDFBibTeX XMLCite \textit{D. Addabbo} and \textit{K. Barron}, J. Algebra 623, 496--540 (2023; Zbl 1512.17047) Full Text: DOI arXiv
Chapman, Adam; Gatto, Letterio; Rowen, Louis Clifford semialgebras. (English) Zbl 1528.15024 Rend. Circ. Mat. Palermo (2) 72, No. 2, 1197-1238 (2023). MSC: 15A75 15A66 17B69 05E05 08A35 14M15 14P10 PDFBibTeX XMLCite \textit{A. Chapman} et al., Rend. Circ. Mat. Palermo (2) 72, No. 2, 1197--1238 (2023; Zbl 1528.15024) Full Text: DOI arXiv
Guerrini, Marcela; Kashuba, Iryna; Morales, Oscar; de Oliveira, André; Santos, Fernando Junior Generalized imaginary Verma and Wakimoto modules. (English) Zbl 1518.17010 J. Pure Appl. Algebra 227, No. 7, Article ID 107332, 18 p. (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B67 17B69 PDFBibTeX XMLCite \textit{M. Guerrini} et al., J. Pure Appl. Algebra 227, No. 7, Article ID 107332, 18 p. (2023; Zbl 1518.17010) Full Text: DOI arXiv
Guo, Hongyan; Xu, Chengkang Restricted modules for gap-\(p\) Virasoro algebra and twisted modules for certain vertex algebras. (English) Zbl 1518.17011 J. Pure Appl. Algebra 227, No. 7, Article ID 107322, 17 p. (2023). MSC: 17B10 17B68 17B69 PDFBibTeX XMLCite \textit{H. Guo} and \textit{C. Xu}, J. Pure Appl. Algebra 227, No. 7, Article ID 107322, 17 p. (2023; Zbl 1518.17011) Full Text: DOI arXiv
Lam, Ching Hung Unitary forms for holomorphic vertex operator algebras of central charge 24. (English) Zbl 1521.17079 Lett. Math. Phys. 113, No. 2, Paper No. 28, 28 p. (2023). MSC: 17B69 20B25 PDFBibTeX XMLCite \textit{C. H. Lam}, Lett. Math. Phys. 113, No. 2, Paper No. 28, 28 p. (2023; Zbl 1521.17079) Full Text: DOI arXiv
Chen, Haibo Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras. (English) Zbl 1521.17011 J. Algebra 621, 41-57 (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{H. Chen}, J. Algebra 621, 41--57 (2023; Zbl 1521.17011) Full Text: DOI arXiv
Lin, Xingjun Trace functions and fusion rules of diagonal coset vertex operator algebras. (English) Zbl 1521.17082 J. Pure Appl. Algebra 227, No. 6, Article ID 107327, 17 p. (2023). MSC: 17B69 PDFBibTeX XMLCite \textit{X. Lin}, J. Pure Appl. Algebra 227, No. 6, Article ID 107327, 17 p. (2023; Zbl 1521.17082) Full Text: DOI arXiv
Adamović, Dražen; Perše, Ozren; Vukorepa, Ivana On the representation theory of the vertex algebra \(L_{-5/2}(sl(4))\). (English) Zbl 1523.17055 Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023). MSC: 17B69 17B67 17B68 PDFBibTeX XMLCite \textit{D. Adamović} et al., Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023; Zbl 1523.17055) Full Text: DOI arXiv
Yabe, Takahiro On the classification of 2-generated axial algebras of Majorana type. (English) Zbl 1525.17023 J. Algebra 619, 347-382 (2023). Reviewer: Gaywalee Yamskulna (Normal) MSC: 17B69 17A60 PDFBibTeX XMLCite \textit{T. Yabe}, J. Algebra 619, 347--382 (2023; Zbl 1525.17023) Full Text: DOI arXiv
Dhillon, Gurbir; Raskin, Sam Localization for affine \(\mathcal{W} \)-algebras. (English) Zbl 1521.17012 Adv. Math. 413, Article ID 108837, 51 p. (2023). MSC: 17B10 17B69 22E47 22E57 PDFBibTeX XMLCite \textit{G. Dhillon} and \textit{S. Raskin}, Adv. Math. 413, Article ID 108837, 51 p. (2023; Zbl 1521.17012) Full Text: DOI arXiv
McRae, Robert; Yang, Jinwei An \(\mathfrak{sl}_2\)-type tensor category for the Virasoro algebra at central charge 25 and applications. (English) Zbl 1508.18015 Math. Z. 303, No. 2, Paper No. 32, 40 p. (2023). Reviewer: Mateusz Stroiński (Uppsala) MSC: 18M15 17B68 17B69 81R10 PDFBibTeX XMLCite \textit{R. McRae} and \textit{J. Yang}, Math. Z. 303, No. 2, Paper No. 32, 40 p. (2023; Zbl 1508.18015) Full Text: DOI arXiv
Takenaka, Ryo Vertex algebraic construction of modules for twisted affine Lie algebras of type \(A_{2l}^{(2)}\). (English) Zbl 1519.17031 J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B69 05A19 PDFBibTeX XMLCite \textit{R. Takenaka}, J. Pure Appl. Algebra 227, No. 4, Article ID 107263, 33 p. (2023; Zbl 1519.17031) Full Text: DOI arXiv
Mugnolo, Delio; Plümer, Marvin On torsional rigidity and ground-state energy of compact quantum graphs. (English) Zbl 1504.35603 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023). MSC: 35R02 05C50 35J05 35J25 35P15 81Q35 PDFBibTeX XMLCite \textit{D. Mugnolo} and \textit{M. Plümer}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023; Zbl 1504.35603) Full Text: DOI arXiv
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: 17B69 PDFBibTeX XMLCite \textit{X. Jiao} et al., J. Algebra 614, 330--361 (2023; Zbl 07615773) Full Text: DOI
Das, Apurba; Sahoo, Anupam Homotopification and categorification of Leibniz conformal algebras. arXiv:2309.02116 Preprint, arXiv:2309.02116 [math.RT] (2023). MSC: 17A32 17B69 18N40 18N25 BibTeX Cite \textit{A. Das} and \textit{A. Sahoo}, ``Homotopification and categorification of Leibniz conformal algebras'', Preprint, arXiv:2309.02116 [math.RT] (2023) Full Text: arXiv OA License
Lam, Ching Hung; Yamada, Hiromichi Sigma involutions associated with parafermion vertex operator algebra \(K(\mathfrak{sl}_2,k)\). (English) Zbl 1521.17080 Linear Multilinear Algebra 70, No. 21, 6780-6819 (2022). MSC: 17B69 17B67 17B68 PDFBibTeX XMLCite \textit{C. H. Lam} and \textit{H. Yamada}, Linear Multilinear Algebra 70, No. 21, 6780--6819 (2022; Zbl 1521.17080) Full Text: DOI arXiv
Fuchs, Dmitry Representations of infinite-dimensional Lie algebras. (English) Zbl 1512.17001 Association for Mathematical Research Monographs 1. Davis, CA: Association for Mathematical Research (AMR) (ISBN 978-1-959384-00-7). 113 p., open access (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-01 17B10 17B65 17B67 17B68 17B69 PDFBibTeX XMLCite \textit{D. Fuchs}, Representations of infinite-dimensional Lie algebras. Davis, CA: Association for Mathematical Research (AMR) (2022; Zbl 1512.17001) Full Text: Link Link
Bourgine, Jean-Emile Engineering 3D \(\mathcal{N} = 2\) theories using the quantum affine \(\mathfrak{sl}(2)\) algebra. (English) Zbl 1516.81118 Nucl. Phys., B 985, Article ID 115979, 22 p. (2022). Reviewer: Shintaro Yanagida (Nagoya) MSC: 81R15 81R50 81Q60 17B37 17B10 14L17 17B69 81V22 PDFBibTeX XMLCite \textit{J.-E. Bourgine}, Nucl. Phys., B 985, Article ID 115979, 22 p. (2022; Zbl 1516.81118) Full Text: DOI arXiv
Hong, Yanyong Central extensions and conformal derivations of a class of Lie conformal algebras. (English) Zbl 1511.17044 Linear Multilinear Algebra 70, No. 18, 3577-3598 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B40 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{Y. Hong}, Linear Multilinear Algebra 70, No. 18, 3577--3598 (2022; Zbl 1511.17044) Full Text: DOI arXiv
Jiang, Cuipo; Lin, Zongzhu Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras. (English) Zbl 1521.17077 Trans. Am. Math. Soc. 375, No. 12, 8325-8352 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{C. Jiang} and \textit{Z. Lin}, Trans. Am. Math. Soc. 375, No. 12, 8325--8352 (2022; Zbl 1521.17077) Full Text: DOI arXiv
Adamović, Dražen; Jandrić, Berislav; Radobolja, Gordan The \(N = 1\) super Heisenberg-Virasoro vertex algebra at level zero. (English) Zbl 1512.17050 J. Algebra Appl. 21, No. 12, Article ID 2350003, 26 p. (2022). Reviewer: Gaywalee Yamskulna (Normal) MSC: 17B69 PDFBibTeX XMLCite \textit{D. Adamović} et al., J. Algebra Appl. 21, No. 12, Article ID 2350003, 26 p. (2022; Zbl 1512.17050) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Futorny} et al., Int. Math. Res. Not. 2022, No. 20, 15788--15825 (2022; Zbl 1498.17015) Full Text: DOI arXiv
Huang, Yi-Zhi Associative algebras and intertwining operators. (English) Zbl 1523.17058 Commun. Math. Phys. 396, No. 1, 1-44 (2022). MSC: 17B69 16S99 81T40 PDFBibTeX XMLCite \textit{Y.-Z. Huang}, Commun. Math. Phys. 396, No. 1, 1--44 (2022; Zbl 1523.17058) Full Text: DOI arXiv
Creutzig, Thomas; Linshaw, Andrew R. Trialities of orthosymplectic \(\mathcal{W} \)-algebras. (English) Zbl 1504.18016 Adv. Math. 409, Part B, Article ID 108678, 79 p. (2022). Reviewer: Robert McRae (Beijing) MSC: 18M20 17B69 17B67 81R10 81T40 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Adv. Math. 409, Part B, Article ID 108678, 79 p. (2022; Zbl 1504.18016) Full Text: DOI arXiv
Gross, Jacob; Joyce, Dominic; Tanaka, Yuuji Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories. (English) Zbl 1505.14026 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14D20 17B69 16G20 PDFBibTeX XMLCite \textit{J. Gross} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022; Zbl 1505.14026) Full Text: DOI arXiv
Chen, Fulin; Li, Huansheng; Yu, Nina Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras. (English) Zbl 1521.17049 J. Algebra 611, 110-148 (2022). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Algebra 611, 110--148 (2022; Zbl 1521.17049) Full Text: DOI arXiv
Jiao, Xiangyu; Zheng, Wen Vertex operator algebras generated by two Ising vectors. (English) Zbl 1510.17037 J. Algebra 610, 546-570 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{X. Jiao} and \textit{W. Zheng}, J. Algebra 610, 546--570 (2022; Zbl 1510.17037) Full Text: DOI arXiv
Franchi, Clara; Ivanov, Alexander A.; Mainardis, Mario Saturated Majorana representations of \(A_{12}\). (English) Zbl 1517.20019 Trans. Am. Math. Soc. 375, No. 8, 5753-5801 (2022). Reviewer: Burkhard Külshammer (Jena) MSC: 20C30 20C15 17B69 05E10 PDFBibTeX XMLCite \textit{C. Franchi} et al., Trans. Am. Math. Soc. 375, No. 8, 5753--5801 (2022; Zbl 1517.20019) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{X. Lin}, J. Algebra 608, 645--672 (2022; Zbl 1503.17027) Full Text: DOI arXiv
Li, Haisheng; Yu, Nina On a family of vertex operator superalgebras. (English) Zbl 1500.17024 J. Algebra 608, 290-324 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{H. Li} and \textit{N. Yu}, J. Algebra 608, 290--324 (2022; Zbl 1500.17024) Full Text: DOI arXiv
Kolesnikov, P. S.; Panasenko, A. S. Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules. (English) Zbl 1504.17026 J. Algebra Appl. 21, No. 7, Article ID 2250138, 12 p. (2022). Reviewer: Chia Zargeh (São Paulo) MSC: 17B63 17B69 17A61 PDFBibTeX XMLCite \textit{P. S. Kolesnikov} and \textit{A. S. Panasenko}, J. Algebra Appl. 21, No. 7, Article ID 2250138, 12 p. (2022; Zbl 1504.17026) Full Text: DOI arXiv
Dong, Chongying; Ren, Li; Yang, Meiling Super orbifold theory. (English) Zbl 1522.17034 Adv. Math. 405, Article ID 108481, 34 p. (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{C. Dong} et al., Adv. Math. 405, Article ID 108481, 34 p. (2022; Zbl 1522.17034) Full Text: DOI arXiv
Kolesnikov, P. S.; Kozlov, R. A. Standard bases for the universal associative conformal envelopes of Kac-Moody conformal algebras. (English) Zbl 1510.17010 Algebr. Represent. Theory 25, No. 4, 847-867 (2022). Reviewer: Chia Zargeh (São Paulo) MSC: 17A61 17B35 17B69 PDFBibTeX XMLCite \textit{P. S. Kolesnikov} and \textit{R. A. Kozlov}, Algebr. Represent. Theory 25, No. 4, 847--867 (2022; Zbl 1510.17010) Full Text: DOI arXiv
Qi, Fei First cohomologies of affine, Virasoro, and lattice vertex operator algebras. (English) Zbl 1510.17042 Lett. Math. Phys. 112, No. 3, Paper No. 56, 52 p. (2022). MSC: 17B69 16E40 PDFBibTeX XMLCite \textit{F. Qi}, Lett. Math. Phys. 112, No. 3, Paper No. 56, 52 p. (2022; Zbl 1510.17042) Full Text: DOI arXiv
Moriwaki, Yuto Quantum coordinate ring in WZW model and affine vertex algebra extensions. (English) Zbl 1507.17047 Sel. Math., New Ser. 28, No. 4, Paper No. 68, 49 p. (2022). MSC: 17B69 17B81 81R50 PDFBibTeX XMLCite \textit{Y. Moriwaki}, Sel. Math., New Ser. 28, No. 4, Paper No. 68, 49 p. (2022; Zbl 1507.17047) Full Text: DOI arXiv
Dong, Chongying; Xu, Feng; Yu, Nina \(S\)-matrix in permutation orbifolds. (English) Zbl 1514.17033 J. Algebra 606, 851-876 (2022). Reviewer: Sven Möller (Piscataway) MSC: 17B69 PDFBibTeX XMLCite \textit{C. Dong} et al., J. Algebra 606, 851--876 (2022; Zbl 1514.17033) Full Text: DOI arXiv
Li, Haisheng; Mu, Qiang Vertex superalgebras over fields of prime characteristic. (English) Zbl 1508.17033 J. Algebra 606, 700-741 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{H. Li} and \textit{Q. Mu}, J. Algebra 606, 700--741 (2022; Zbl 1508.17033) Full Text: DOI
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 PDFBibTeX XMLCite \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
Han, JianZhi Bimodules and universal enveloping algebras associated to VOAs. (English) Zbl 1514.17036 Isr. J. Math. 247, No. 2, 905-922 (2022). MSC: 17B69 17B35 PDFBibTeX XMLCite \textit{J. Han}, Isr. J. Math. 247, No. 2, 905--922 (2022; Zbl 1514.17036) Full Text: DOI
Du, Fang; Wang, Hao Twisted representations for \(\mathcal{S}\)-local vertex operator algebras. (English) Zbl 1518.17031 Commun. Algebra 50, No. 6, 2571-2583 (2022). Reviewer: Xuanzhong Dai (Kyoto) MSC: 17B69 PDFBibTeX XMLCite \textit{F. Du} and \textit{H. Wang}, Commun. Algebra 50, No. 6, 2571--2583 (2022; Zbl 1518.17031) Full Text: DOI
Han, Xiu; Wang, Dengyin; Xia, Chunguang Representations of Lie conformal algebras related to Galilean conformal algebras. (English) Zbl 1510.17016 Commun. Algebra 50, No. 6, 2427-2438 (2022). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{X. Han} et al., Commun. Algebra 50, No. 6, 2427--2438 (2022; Zbl 1510.17016) Full Text: DOI
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 PDFBibTeX XMLCite \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
Jing, Naihuan; Liu, Ning The Green polynomials via vertex operators. (English) Zbl 1510.17038 J. Pure Appl. Algebra 226, No. 8, Article ID 107032, 17 p. (2022). MSC: 17B69 05E10 05E05 PDFBibTeX XMLCite \textit{N. Jing} and \textit{N. Liu}, J. Pure Appl. Algebra 226, No. 8, Article ID 107032, 17 p. (2022; Zbl 1510.17038) Full Text: DOI arXiv
Gross, Jacob; Upmeier, Markus Vertex F-algebra structures on the complex oriented homology of H-spaces. (English) Zbl 1510.17035 J. Pure Appl. Algebra 226, No. 8, Article ID 107019, 13 p. (2022). MSC: 17B69 55N20 PDFBibTeX XMLCite \textit{J. Gross} and \textit{M. Upmeier}, J. Pure Appl. Algebra 226, No. 8, Article ID 107019, 13 p. (2022; Zbl 1510.17035) Full Text: DOI arXiv
Creutzig, Thomas; Linshaw, Andrew R. Trialities of \(\mathcal{W} \)-algebras. (English) Zbl 07512764 Camb. J. Math. 10, No. 1, 69-194 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Camb. J. Math. 10, No. 1, 69--194 (2022; Zbl 07512764) Full Text: DOI arXiv
Mu, Qiang Smash product construction of modular lattice vertex algebras. (English) Zbl 1514.17038 Electron. Res. Arch. 30, No. 1, 204-220 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{Q. Mu}, Electron. Res. Arch. 30, No. 1, 204--220 (2022; Zbl 1514.17038) Full Text: DOI
McRae, Robert On semisimplicity of module categories for finite non-zero index vertex operator subalgebras. (English) Zbl 1510.17040 Lett. Math. Phys. 112, No. 2, Paper No. 25, 28 p. (2022). MSC: 17B69 18M15 18M20 81R10 PDFBibTeX XMLCite \textit{R. McRae}, Lett. Math. Phys. 112, No. 2, Paper No. 25, 28 p. (2022; Zbl 1510.17040) Full Text: DOI arXiv
Flandoli, Ilaria; Lentner, Simon D. Algebras of non-local screenings and diagonal Nichols algebras. (English) Zbl 1505.16041 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 018, 81 p. (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 17B69 PDFBibTeX XMLCite \textit{I. Flandoli} and \textit{S. D. Lentner}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 018, 81 p. (2022; Zbl 1505.16041) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Lie Theory 32, No. 2, 301--312 (2022; Zbl 1497.17034) Full Text: Link
Creutzig, Thomas; McRae, Robert; Yang, Jinwei Direct limit completions of vertex tensor categories. (English) Zbl 1502.17026 Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022). MSC: 17B69 17B37 17B67 81T40 81R10 18M15 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022; Zbl 1502.17026) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Adamović} et al., Commun. Contemp. Math. 24, No. 1, Article ID 2050086, 23 p. (2022; Zbl 1490.17029) Full Text: DOI
Allen, Robert; Wood, Simon Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion. (English) Zbl 1508.81950 Commun. Math. Phys. 390, No. 2, 959-1015 (2022). MSC: 81T40 81R10 17B69 18M15 PDFBibTeX XMLCite \textit{R. Allen} and \textit{S. Wood}, Commun. Math. Phys. 390, No. 2, 959--1015 (2022; Zbl 1508.81950) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. Dong} et al., Sci. China, Math. 65, No. 2, 259--268 (2022; Zbl 1490.17032) Full Text: DOI arXiv
Han, Jianzhi; Li, Haisheng; Xiao, Yukun Cocommutative vertex bialgebras. (English) Zbl 1484.17041 J. Algebra 598, 536-569 (2022). MSC: 17B69 17B68 16T10 PDFBibTeX XMLCite \textit{J. Han} et al., J. Algebra 598, 536--569 (2022; Zbl 1484.17041) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{O. Behzad} et al., J. Algebra 597, 47--74 (2022; Zbl 1487.14104) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{O. Behzad} et al., Collect. Math. 73, No. 1, 107--133 (2022; Zbl 1486.14065) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{O. Behzad} and \textit{L. Gatto}, Fundam. Math. 256, No. 3, 307--331 (2022; Zbl 1487.15033) Full Text: DOI arXiv
Koshida, Shinji; Kytölä, Kalle The quantum group dual of the first-row subcategory for the generic Virasoro VOA. (English) Zbl 1511.17039 Commun. Math. Phys. 389, No. 2, 1135-1213 (2022). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{S. Koshida} and \textit{K. Kytölä}, Commun. Math. Phys. 389, No. 2, 1135--1213 (2022; Zbl 1511.17039) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Adv. Math. 396, Article ID 108174, 72 p. (2022; Zbl 1500.17023) Full Text: DOI arXiv
Kodera, Ryosuke; Ueda, Mamoru Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras. (English) Zbl 1525.17013 Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{R. Kodera} and \textit{M. Ueda}, Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022; Zbl 1525.17013) Full Text: DOI arXiv
Butorac, Marijana; Kožić, Slaven Principal subspaces for the quantum affine vertex algebra in type \(A_1^{( 1 )}\). (English) Zbl 1517.17013 J. Pure Appl. Algebra 226, No. 6, Article ID 106973, 14 p. (2022). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{M. Butorac} and \textit{S. Kožić}, J. Pure Appl. Algebra 226, No. 6, Article ID 106973, 14 p. (2022; Zbl 1517.17013) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{N. Jing} et al., Algebra Colloq. 29, No. 1, 79--98 (2022; Zbl 1498.17027) Full Text: DOI arXiv
Creutzig, Thomas; Kovalchuk, Vladimir; Linshaw, Andrew R. Generalized parafermions of orthogonal type. (English) Zbl 1495.17039 J. Algebra 593, 178-192 (2022). MSC: 17B69 PDFBibTeX XMLCite \textit{T. Creutzig} et al., J. Algebra 593, 178--192 (2022; Zbl 1495.17039) Full Text: DOI arXiv