Representations of twisted multi-loop Lie algebras.

DOI10.1016/J.JALGEBRA.2003.09.044zbMath1077.17005OpenAlexW2036491884WikidataQ115351801 ScholiaQ115351801MaRDI QIDQ1425102

Punita Batra

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.044

zbMATH Keywords

classification of irreducible finite-dimensional modulestwisted multi-loop 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 (13)

Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces ⋮ Wakimoto modules for twisted multi-loop algebra of type \(A_1 \times A_1\) ⋮ Unnamed Item ⋮ Highest weight modules over pre-exp-polynomial Lie algebras ⋮ Integrable representations for the twisted full toroidal Lie algebras ⋮ Integrable modules for Lie tori ⋮ Unnamed Item ⋮ Representations of twisted current algebras ⋮ Irreducible finite-dimensional representations of equivariant map algebras ⋮ Equivariant map superalgebras ⋮ Representations of Graded Multiloop Lie Algebras ⋮ Finite dimensional modules for multiloop superalgebras of types 𝐴(𝑚,𝑛) and 𝐶(𝑚) ⋮ Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Cites Work

• Unnamed Item
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Irreducible representations for toroidal Lie algebras
• On representations of loop algebras
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

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