Systems of correlation functions, coinvariants, and the Verlinde algebra

DOI10.1007/s10688-012-0005-5zbMath1306.17010arXiv1003.2949OpenAlexW2963421508MaRDI QIDQ366045

Evgeny Feigin

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2949

zbMATH Keywords

vertex operator algebraaffine Lie algebraZhu algebra

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)

Cites Work

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• Zhu's algebras, \(C_{2}\)-algebras and abelian radicals
• Conformal field theory
• Fusion rules and modular transformations in 2D conformal field theory
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Rationality, quasirationality and finite \(W\)-algebras
• An equivalence of fusion categories
• Axiomatic conformal field theory
• Integrability of C2-cofinite vertex operator algebras
• Zhu's algebra and theC₂-algebra in the symplectic and the orthogonal cases
• The PBW filtration
• Modular invariance of characters of vertex operator algebras
• Zhu's algebra, the C_2 algebra, and twisted modules
• Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants

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