Generating function identities for untwisted standard modules of affine Lie algebras

DOI10.1080/00927870008827097zbMath0973.17035OpenAlexW2015258921MaRDI QIDQ4508796

Cristiano Husu

Publication date: 22 August 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827097

zbMATH Keywords

affine Lie algebragenerating function identitiestwisted relative vertex operatoruntwisted representations

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 (1)

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

Cites Work

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• Level two standard \(\tilde A_ n\)-modules
• 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
• Level one standard modules for affine symplectic Lie algebras
• Elements of the annihilating ideal of a standard module
• On some representations of twisted affine Lie algebras and combinatorial identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Vertex operator construction of standard modules for \(A_ n^{(1)}\)
• Extensions of the Jacobi identity for relative untwisted vertex operators, and generating function identities for untwisted standard modules: The \(A^{(1)}_ 1\)-case
• Level three standard modules \(A^{(2)}_ 2\) and combinatorial identities
• Extensions of the Jacobi identity for generalized vertex algebras
• The algebraic structure of relative twisted vertex operators
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• Vertex algebras, Kac-Moody algebras, and the Monster
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities

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