Integrable representations for the twisted full toroidal Lie algebras

DOI10.1016/j.jalgebra.2006.08.031zbMath1172.17017OpenAlexW1972662564WikidataQ115351522 ScholiaQ115351522MaRDI QIDQ865485

Jiayuan Fu, Cuipo (Cuibo) Jiang

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.031

zbMATH Keywords

universal central extensionirreducible integrable moduletwisted full toroidal Lie algebra

Mathematics Subject Classification ID

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

Related Items (10)

Highest weight modules over pre-exp-polynomial Lie algebras ⋮ Bosonic free field realization of twisted 2-toroidal Lie algebras ⋮ Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras ⋮ Unnamed Item ⋮ Integrable Representations for Twisted Generalized Virasoro-Toroidal Lie Algebras ⋮ Lie Groups of Bundle Automorphisms and Their Extensions ⋮ On realization of some twisted toroidal Lie algebras ⋮ Fermionic realization of twisted toroidal Lie algebras ⋮ On Integrable modules for the twisted full toroidal Lie algebra ⋮ Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

Cites Work

• Unnamed Item
• Classification of irreducible integrable representations for the full toroidal Lie algebras
• Toroidal Lie algebras and vertex representations
• Integrable representations of affine Lie-algebras
• Extended affine Weyl groups
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Enveloping algebras and representations of toroidal Lie algebras
• Nonreduced extended affine Weyl groups.
• Integrable representations for generalized Virasoro-toroidal Lie algebras.
• Representations of twisted multi-loop 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
• Algebras of diffeomorphisms of the N-torus
• Vertex operator representations for toroidal lie algebra of typeB_l
• Principal vertex operator representations for toroidal Lie algebras
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\).

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