Generalized Casimir operators

DOI10.1142/S0219498819502190zbMath1452.17026arXiv1602.07847OpenAlexW2963175752WikidataQ128840548 ScholiaQ128840548MaRDI QIDQ5235395

Senapathi Eswara Rao

Publication date: 10 October 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07847

zbMATH Keywords

Casimir operatorsevaluation modulestensor product module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Graded Lie (super)algebras (17B70)

Related Items

On some central operators for loop Lie superalgebras ⋮ Generalized Casimir operators for Lie superalgebras ⋮ Modules for loop Affine-Virasoro algebras ⋮ Integrable modules for loop affine-Virasoro algebras

Cites Work

• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Equivariant map superalgebras
• Representation of complex semi-simple Lie groups and Lie algebras
• Weyl Modules Associated to Kac–Moody Lie Algebras
• Representations of Loop Kac-Moody Lie Algebras
• A survey of equivariant map algebras with open problems
• Classification of irreducible integrable highest weight modules for current Kac–Moody algebras
• On representations of loop algebras
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces
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