Characters and quantum reduction for orthosymplectic Lie superalgebras

DOI10.1142/S0219498823500251OpenAlexW3205826279WikidataQ115245560 ScholiaQ115245560MaRDI QIDQ5872585

Namhee Kwon

Publication date: 2 January 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500251

zbMATH Keywords

characters\(W\)-algebrasadmissible representationsorthosymplectic Lie superalgebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

Relaxed category and vanishing of cohomology associated with quantum reduction

Cites Work

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• Quantization of the Drinfel'd-Sokolov reduction.
• Quantum reduction and representation theory of superconformal algebras
• Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
• Automorphic forms and Lie superalgebras
• Representations of affine Kac-Moody algebras, bosonization and resolutions
• Generalized Kac-Moody algebras
• A remarkable connection between the representations of the Lie superalgebras osp(1,2n) and the Lie algebras o(2n+1)
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
• Quantum reduction for affine superalgebras
• Introduction to vertex operator algebras and their representations
• Weyl-Kac type character formula for admissible representations of Borcherds-Kac-Moody Lie superalgebras
• Screening operators for \(\mathcal {W}\)-algebras
• Representation theory of \(\mathcal{W}\)-algebras
• Nilpotent orbits and finite W-algebras
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)
• Lie superalgebras

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