Elements of the annihilating ideal of a standard module

DOI10.1016/0021-8693(92)90175-LzbMath0752.17024MaRDI QIDQ1183281

Stefano Capparelli

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

vertex operatorsaffine Lie algebrabasic modulesannihilating ideal

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)

Related Items (4)

A combinatorial proof of a partition identity related to the level 3 representations of a twisted affine lie algebra ⋮ A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type ⋮ Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection ⋮ Generating function identities for untwisted standard modules of affine Lie algebras

Cites Work

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• Structure of some standard modules for \(C_ n^{(1)}\)
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• Infinite conformal symmetry in two-dimensional quantum field theory
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Lie algebraic approaches to classical partition identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Calculus of twisted vertex operators
• Structure of the level one standard modules for the affine Lie algebras 𝐵_{𝑙}⁽¹⁾,𝐹⁽¹⁾₄ and 𝐺⁽¹⁾₂
• Vertex algebras, Kac-Moody algebras, and the Monster
• Calculus of principally twisted vertex operators
• Vertex representations of quantum affine algebras
• String path integral realization of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules

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