Complete reducibility of integrable modules for the affine Lie (super)algebras

DOI10.1016/S0021-8693(03)00106-6zbMath1021.17014arXivmath/0301049WikidataQ115340505 ScholiaQ115340505MaRDI QIDQ1398154

Senapathi Eswara Rao

Publication date: 29 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301049

zbMATH Keywords

affine Lie algebrasintegrable modulessuperaffine Lie algebras

Mathematics Subject Classification ID

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

Related Items (10)

Complete Reducibility for the Twisted Affine Lie Algebras ⋮ Unnamed Item ⋮ Representations of twisted affine Lie superalgebras--a recognition theorem ⋮ Graded level zero integrable representations of affine Lie algebras ⋮ Integrable representations of affine \(A(m,n)\) and \(C(m)\) superalgebras ⋮ Quantum affine algebras, graded limits and flags ⋮ On certain categories of modules for affine Lie algebras ⋮ Spectral characters of a class of integrable representations of toroidal Lie algebras ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Modules for loop Affine-Virasoro algebras

Cites Work

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• Integrable representations of affine Lie-algebras
• Classification of loop modules with finite dimensional weight spaces
• Introduction to Lie Algebras and Representation Theory
• Integrable highest weight modules over affine superalgebras and Appell's function
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

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