Vertex Operator Construction for the Toroidal Lie Algebra of TypeF4
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Publication:4807575
DOI10.1081/AGB-120018990zbMath1039.17030MaRDI QIDQ4807575
Publication date: 19 May 2003
Published in: Communications in Algebra (Search for Journal in Brave)
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 typeBl
- 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 \(B_l\).
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