Integrable representations for generalized Virasoro-toroidal Lie algebras.

DOI10.1016/j.jalgebra.2003.06.006zbMath1037.17029OpenAlexW2074409243WikidataQ115351814 ScholiaQ115351814MaRDI QIDQ1419015

Dao Ji Meng, Cuipo (Cuibo) Jiang

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.06.006

zbMATH Keywords

irreducible representationVirasoro algebraweighttoroidal algebraintegrable representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68)

Related Items (14)

Integrable representations for the twisted full toroidal Lie algebras ⋮ Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus ⋮ Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras ⋮ Integrable modules for twisted toroidal extended affine Lie algebras ⋮ Irreducible integrable modules for the full toroidal Lie algebras coordinated by rational quantum torus ⋮ The irreducible modules for the derivations of the rational quantum torus ⋮ Unnamed Item ⋮ Integrable Representations for Twisted Generalized Virasoro-Toroidal Lie Algebras ⋮ Unnamed Item ⋮ Classification of integrable representations for toroidal extended affine Lie algebras ⋮ Classification of irreducible integrable representations for the full toroidal Lie algebras ⋮ On Integrable modules for the twisted full toroidal Lie algebra ⋮ Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras ⋮ Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras

Cites Work

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• Toroidal Lie algebras and vertex representations
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Integrable representations of affine Lie-algebras
• Basic representations of affine Lie algebras and dual resonance models
• 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
• Enveloping algebras and representations of toroidal Lie algebras
• Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
• Irreducible representations for toroidal Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Vertex operator representations for toroidal lie algebra of typeB_l
• Principal vertex operator representations for toroidal Lie algebras
• Vertex Operator Construction for the Toroidal Lie Algebra of TypeF₄
• 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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