Integrable Representations for Twisted Generalized Virasoro-Toroidal Lie Algebras

DOI10.1142/S1005386708000400zbMath1227.17012OpenAlexW2049945169WikidataQ115245090 ScholiaQ115245090MaRDI QIDQ3527455

Yucai Su, Jiayuan Fu, Cuipo (Cuibo) Jiang

Publication date: 29 September 2008

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

Full work available at URL: https://doi.org/10.1142/s1005386708000400

zbMATH Keywords

central chargesirreducible integrable modulesintegrable representationdiagram automorphismtwisted generalized Virasoro-toroidal Lie algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

• Classification of irreducible integrable representations for the full toroidal Lie algebras
• Integrable representations for the twisted full toroidal Lie algebras
• 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
• Enveloping algebras and representations of toroidal Lie algebras
• Integrable representations for generalized Virasoro-toroidal Lie algebras.
• Irreducible representations for toroidal Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Universal central extensions of twisted and untwisted Lie algebras extended over commutative rings
• 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
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus

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