On homology and cohomology of Lie superalgebras with coefficients in their finite-dimensional representations

DOI10.3792/pjaa.71.51zbMath0928.17022OpenAlexW2091352059MaRDI QIDQ1898259

Junko Tanaka

Publication date: 19 January 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.51

zbMATH Keywords

cohomology groupshighest weight modulesLie superalgebrahomology groups

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56)

Related Items

Unnamed Item ⋮ Representations of super Yang-Mills algebras ⋮ Irreducible characters of general linear superalgebra and super duality ⋮ Super duality and irreducible characters of ortho-symplectic Lie superalgebras ⋮ Non-abelian tensor product and homology of Lie superalgebras ⋮ Second homology of Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Representations of Lie superalgebras. II: Unitary representations of Lie superalgebras of type A(n,0)
• Duality property in coinduced representations of Lie superalgebras
• Homology and cohomology of Lie superalgebra \({\mathfrak sl}(2,1)\) with coefficients in the spaces of finite-dimensional irreducible representations
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Cohomology Theory of Lie Groups and Lie Algebras
• Lie superalgebras