Characters and super-characters of discrete series representations for orthosymplectic Lie superalgebras

DOI10.1016/0021-8693(91)90240-9zbMath0742.17006OpenAlexW1968264778WikidataQ115365711 ScholiaQ115365711MaRDI QIDQ1177272

Kyo Nishiyama

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90240-9

zbMATH Keywords

oscillator representationsorthosymplectic superalgebras

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (4)

Supercoherent states, super-Kähler geometry and geometric quantization ⋮ Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras. ⋮ Classification of irreducible super-unitary representations of \({\mathfrak su}(p,q/n)\) ⋮ On the Super-Unitarity of Discrete Series Representations of Orthosymplectic Lie Superalgebras

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• Representations of Lie superalgebras. II: Unitary representations of Lie superalgebras of type A(n,0)
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• Oscillator representations for orthosymplectic algebras
• Super dual pairs and highest weight modules of orthosymplectic algebras
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Characters of typical representations of classical lie superalgebras
• Introduction to Lie Algebras and Representation Theory
• Lie superalgebras

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