Borel subalgebras and categories of highest weight modules for toroidal Lie algebras

DOI10.1006/jabr.2000.8509zbMath0969.17006OpenAlexW2043151708WikidataQ115395744 ScholiaQ115395744MaRDI QIDQ5929440

Vyacheslav M. Futorny, Ben L. Cox

Publication date: 27 September 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8509

zbMATH Keywords

conjugacy classesBGG duality theoremBGG type resolutionBorel subalgebrashighest weight categoryhighest weight modulestoroidal Lie algebrasVerma modules

Mathematics Subject Classification ID

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

Related Items

Verma type modules for toroidal lie algebras ⋮ Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q) ⋮ Vertex Operator Construction for the Toroidal Lie Algebra of TypeF₄ ⋮ Structure of intermediate Wakimoto modules ⋮ Integrable representations for generalized Virasoro-toroidal Lie algebras. ⋮ Classification of integrable representations for toroidal extended affine Lie algebras ⋮ A reduction theorem for highest weight modules over toroidal Lie algebras ⋮ TOROIDAL LIE ALGEBRAS AND SOME DIFFERENTIAL EQUATIONS OF TODA TYPE ⋮ Irreducible representations for toroidal Lie algebras ⋮ φ-imaginary Verma modules and their generalizations for the toroidal Lie algebras

Cites Work

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• Structure of some categories of representations of infinite-dimensional Lie algebras
• Characters of irreducible representations of the Virasoro algebra
• Lie algebra homology and the Macdonald-Kac formulas
• Enveloping algebras and representations of toroidal Lie algebras
• Verma modules induced from nonstandard Borel subalgebras