Abelian intertwining algebras and modules related to rational lattices

DOI10.1006/jabr.1998.7686zbMath0931.17019OpenAlexW2027587206MaRDI QIDQ1283282

Wanglai Li

Publication date: 27 February 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7686

zbMATH Keywords

modulesfusion rulesabelian intetwining algebrarational lattice

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (2)

A self-dual integral form of the moonshine module ⋮ Classification of screening systems for lattice vertex operator algebras

Cites Work

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• Classical and quantum conformal field theory
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
• Infinite conformal symmetry in two-dimensional quantum field theory
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• Generalized vertex algebras and relative vertex operators
• Vertex algebras associated with even lattices
• Regularity of rational vertex operator algebras
• Local systems of vertex operators, vertex superalgebras and modules
• Vertex algebras, Kac-Moody algebras, and the Monster
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• On axiomatic approaches to vertex operator algebras and modules

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