Partially integrable highest weight modules

DOI10.1007/BF01236874zbMath0914.17009MaRDI QIDQ1268123

Ivan Dimitrov, I. B. Penkov

Publication date: 7 January 1999

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

Kac-Moody algebrasLie superalgebrasrepresentations of Lie superalgebrasBorel algebrageneralized root decompositionweak Kac-Moody superalgebras

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) Superalgebras (17A70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS ⋮ The Bott–Borel–Weil Theorem for direct limit groups ⋮ Integrable bounded weight modules of classical Lie superalgebras at infinity ⋮ A reduction theorem for highest weight modules over toroidal Lie algebras ⋮ \(c\)-vectors of 2-Calabi-Yau categories and Borel subalgebras of \(\mathfrak{sl}_\infty \)

Cites Work

• Unnamed Item
• Generalized Kac-Moody algebras
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS
• Lie superalgebras

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