Vertex Operator Construction for the Toroidal Lie Algebra of TypeF4

DOI10.1081/AGB-120018990zbMath1039.17030MaRDI QIDQ4807575

Hong You, Cuipo (Cuibo) Jiang

Publication date: 19 May 2003

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

zbMATH Keywords

Kac-Moody Lie algebravertex operatortoroidal Lie 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) Graded Lie (super)algebras (17B70)

Related Items (5)

Integrable Representations for Twisted Generalized Virasoro-Toroidal Lie Algebras ⋮ Integrable representations for generalized Virasoro-toroidal Lie algebras. ⋮ Vertex representation of quantum N-toroidal algebra for type F₄ ⋮ On the toroidal Leibniz algebras ⋮ Vertex representations for toroidal Lie algebra of type \(G_2\)

Cites Work

• Toroidal Lie algebras and vertex representations
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Realization of the basic representations of the Euclidean Lie algebras
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Principal construction of the toroidal Lie algebra of type \(A_1\)
• An extension of the Korteweg-de Vries hierarchy arising from a representation of a toroidal Lie algebra
• Irreducible representations of Virasoro-toroidal Lie algebras
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
• Irreducible representations for toroidal Lie algebras
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Vertex operator representations for toroidal lie algebra of typeB_l
• Representations of Virasoro-Heisenberg Algebras and Virasoro-Toroidal Algebras
• Principal vertex operator representations for toroidal Lie algebras
• Borel subalgebras and categories of highest weight modules for toroidal Lie algebras
• Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\).

This page was built for publication: Vertex Operator Construction for the Toroidal Lie Algebra of TypeF₄