Verma type modules of level zero for affine Lie algebras

DOI10.1090/S0002-9947-97-01957-0zbMath0913.17013MaRDI QIDQ4337952

Vyacheslav M. Futorny

Publication date: 27 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

affine Lie algebraBGG dualityVerma type modulegeneralized Verma type module

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)

Related Items

Irreducible \(A_1^{(1)}\)-modules from modules over two-dimensional non-abelian Lie algebra ⋮ Verma type modules for toroidal lie algebras ⋮ Finite weight modules over twisted affine Lie superalgebras ⋮ A reduction theorem for highest weight modules over toroidal Lie algebras ⋮ Verma-type modules for quantum affine Lie algebras ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Representations of 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
• A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II
• Verma-type modules over affine Lie algebras
• Verma modules induced from nonstandard Borel subalgebras
• Categories of nonstandard highest weight modules for affine Lie algebras
• Imaginary Verma Modules for Affine Lie Algebras