A class of non-standard modules for affine Lie algebras

DOI10.1007/BF01200353zbMath0637.17011OpenAlexW1979920840MaRDI QIDQ1098925

Nolan R. Wallach

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173883

zbMATH Keywords

highest weight modulesVerma modulesaffine Lie algebrasJantzen filtrationcharacter formulacomposition series

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (3)

A note on parabolic Verma module homomorphisms over Kac-Moody algebras ⋮ Affine Kac-Moody algebras and semi-infinite flag manifolds ⋮ Higher-Order Sugawara Operators for Affine Lie Algebras

Cites Work

• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas

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