On representations of loop algebras

DOI10.1080/00927879308824668zbMath0777.17019OpenAlexW2062629972MaRDI QIDQ5286465

Senapathi Eswara Rao

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824668

zbMATH Keywords

affine Lie algebratwisted affine Lie algebrasgraded irreducible integrable representations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (20)

Complete Reducibility for the Twisted Affine Lie Algebras ⋮ Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ A categorical approach to Weyl modules ⋮ Classification of loop modules with finite dimensional weight spaces ⋮ Representations of twisted multi-loop Lie algebras. ⋮ Representations of twisted current algebras ⋮ Irreducible finite-dimensional representations of equivariant map algebras ⋮ Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. II: The non simply-laced case ⋮ Equivariant map superalgebras ⋮ On certain categories of modules for affine Lie algebras ⋮ Automorphism group and representation of a twisted multi-loop algebra ⋮ Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces ⋮ Integrable modules for graded Lie tori with finite-dimensional weight spaces ⋮ Weight modules for current algebras ⋮ Generalized Casimir operators ⋮ Weyl modules and Weyl functors for hyper-map algebras ⋮ Representations of Graded Multiloop Lie Algebras ⋮ Finite dimensional modules for multiloop superalgebras of types 𝐴(𝑚,𝑛) and 𝐶(𝑚) ⋮ 𝕁-Intermediate Wakimoto Modules ⋮ Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Cites Work

• Unnamed Item
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Integrable representations of twisted affine Lie algebras
• A new class of unitary representations for affine Lie algebras
• A new class of Lie algebras
• Structure of certain induced representations of complex semisimple Lie algebras
• Euclidean Lie Algebras
• Introduction to Lie Algebras and Representation Theory

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