The irreducible characters of the Lie superalgebras of type \(A(n,m)\) and filtrations of their Kac modules

DOI10.1007/BF02785543zbMath0873.17002OpenAlexW2067536587MaRDI QIDQ677461

Avital Frumkin

Publication date: 31 May 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785543

zbMATH Keywords

filtrationcharactershighest weight modulescontravariant formKac moduleLie superalgebra \(\text{sl}(n,m)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70)

Related Items (1)

Generalized Kac-Moody algebras and some related topics

Cites Work

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• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Contra-variant form on Kac's modules and some series compositions
• Lie algebra cohomology and the generalized Borel-Weil theorem
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)
• Lie superalgebras

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