An application of Lie superalgebras to affine Lie algebras

DOI10.1016/0021-8693(90)90158-KzbMath0717.17020WikidataQ115365932 ScholiaQ115365932MaRDI QIDQ753940

Vyjayanthi Chari, Andrew Pressley

Publication date: 1990

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

zbMATH Keywords

unitary representationsLie superalgebratensor productdual Coxeter numberaffine Kac-Moody Lie algebraDynkin indexintegrable highest weightirreducible unitary modules

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) Graded Lie (super)algebras (17B70)

Related Items (1)

New simple \(\widehat{\mathfrak{sl}}_2\)-modules from Weyl algebra modules

Cites Work

• Unnamed Item
• Superconformal current algebras and their unitary representations
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• A new family of irreducible, integrable modules for affine Lie algebras

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