New Weyl groups for \(A_ 1^{(1)}\) and characters of singular highest weight modules

DOI10.1007/BF01219201zbMath0691.17015MaRDI QIDQ582372

Vladimir K. Dobrev

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl grouphighest weight representationsVerma modulesaffine Kac-Moody Lie algebraWeyl-Kac character formula

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 (1)

A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Infinite-dimensional Lie algebras, theta functions and modular forms
• On the group-theoretical approach to extended conformal supersymmetry: classification of multiplets
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• On the relevance of some constructions of highest weight modules over (super-) Kac-Moody algebras (In connection with a paper by Wakimoto)
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
• Singular vectors in Verma modules over Kac-Moody algebras
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas

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