A reduction theorem for highest weight modules over toroidal Lie algebras

DOI10.1007/s00220-004-1142-3zbMath1090.17011OpenAlexW2084578158MaRDI QIDQ1771551

Ivan Dimitrov, I. B. Penkov, Vyacheslav M. Futorny

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00220-004-1142-3

zbMATH Keywords

categorysimple moduleBorel subalgebrainduced moduletoroidal algebrasubquotient

Mathematics Subject Classification ID

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

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INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis

Cites Work

• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• Toroidal Lie algebras and vertex representations
• Partially integrable highest weight modules
• Enveloping algebras and representations of toroidal Lie algebras
• Verma modules induced from nonstandard Borel subalgebras
• Irreducible representations for toroidal Lie algebras
• Categories of nonstandard highest weight modules for affine Lie algebras
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
• Verma type modules for toroidal lie algebras
• Verma type modules of level zero for affine Lie algebras
• Borel subalgebras and categories of highest weight modules for toroidal Lie algebras
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