Extensions of the Jacobi identity for relative untwisted vertex operators, and generating function identities for untwisted standard modules: The \(A^{(1)}_ 1\)-case

DOI10.1016/0022-4049(94)00037-JzbMath0837.17013MaRDI QIDQ1346708

Cristiano Husu

Publication date: 10 April 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Jacobi identitystandard modulesvertex operators

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68)

Related Items (3)

Extensions of the Jacobi identity for generalized vertex algebras ⋮ The Jacobi Identity for Relative Twisted Vertex Operators Associated with the Roots of the Lie Algebras and , and the Generating Function Identities for Level-kStandard and -Modules ⋮ Generating function identities for untwisted standard modules of affine Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Generalized vertex algebras and relative vertex operators
• The algebraic structure of relative twisted vertex operators
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Extensions of the Jacobi identity for vertex operators, and standard 𝐴⁽¹⁾₁-modules

This page was built for publication: Extensions of the Jacobi identity for relative untwisted vertex operators, and generating function identities for untwisted standard modules: The \(A^{(1)}_ 1\)-case