Verma type modules for toroidal lie algebras

DOI10.1080/00927879908826677zbMath0940.17011OpenAlexW2032580681MaRDI QIDQ4261251

Iryna Kashuba, Vyacheslav M. Futorny

Publication date: 25 July 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826677

zbMATH Keywords

Verma modulesBorel subalgebratoroidal algebraimaginary Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q) ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ A reduction theorem for highest weight modules over toroidal Lie algebras ⋮ Irreducible representations for toroidal Lie-algebras ⋮ φ-imaginary Verma modules and their generalizations for the toroidal Lie algebras ⋮ Modules for double affine Lie algebras

Cites Work

• Toroidal Lie algebras and vertex representations
• Imaginary Verma Modules for Affine Lie Algebras
• Verma type modules of level zero for affine Lie algebras
• Borel subalgebras and categories of highest weight modules for toroidal Lie algebras

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