Classification of loop modules with finite dimensional weight spaces

DOI10.1007/BF01444242zbMath0852.17022MaRDI QIDQ1923274

Senapathi Eswara Rao

Publication date: 2 December 1996

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

Full work available at URL: https://eudml.org/doc/183008

zbMATH Keywords

affine Lie algebrasfinite-dimensional weight spacesirreducible loop modules

Mathematics Subject Classification ID

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

Related Items

Integrable modules for affine Lie superalgebras ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ Integrable modules for Lie tori ⋮ Complete reducibility of integrable modules for the affine Lie (super)algebras ⋮ Simple \(\mathfrak{sl}_{d+1}\)-modules from Witt algebra modules ⋮ Realizations of 𝐴₁⁽¹⁾-modules in category ̃𝒪 ⋮ Finite weight modules over twisted affine Lie superalgebras ⋮ Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras ⋮ On certain categories of modules for affine Lie algebras ⋮ Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Irreducible representations for toroidal Lie-algebras

Cites Work

• New unitary representations of loop groups
• A new class of unitary representations for affine Lie algebras
• Irreducible non-dense \(A_ 1^{(1)}\)-modules
• On representations of loop algebras
• Euclidean Lie Algebras
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