The Kac Construction of the Centre of U(g) for Lie Superalgebras

DOI10.2991/jnmp.2004.11.3.5zbMath1086.17007OpenAlexW2126700655MaRDI QIDQ4659225

Maria Gorelik

Publication date: 21 March 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2004.11.3.5

zbMATH Keywords

Harish-Chandra homomorphismcompleted enveloping algebrasimple finite-dimensional Lie superalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (11)

On the Superdimension of an Irreducible Representation of a Basic Classical Lie Superalgebra ⋮ The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators ⋮ Highest weight Harish-Chandra supermodules and their geometric realizations ⋮ The Harish-Chandra isomorphism for reductive symmetric superpairs ⋮ The Duflo-Serganova functor, vingt ans après ⋮ Whittaker coinvariants for \(\mathrm{GL}(m|n)\) ⋮ Blocks and characters of \(G(3)\)-modules of non-integral weights ⋮ Chevalley's restriction theorem for reductive symmetric superpairs ⋮ Gaudin models for 𝔤𝔩(m|n) ⋮ Blocks and characters of \(D(2|1; \zeta)\)-modules of non-integral weights ⋮ Character formulas in category \(\mathcal{O}\) for exceptional Lie superalgebra \(G(3)\)

Cites Work

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• The Shapovalov Determinant for the Poisson Superalgebras
• Laplace operators of infinite-dimensional Lie algebras and theta functions
• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)
• A classification of contragredient lie superalgebras of finite growth
• Lie superalgebras
• An analog of the classical invariant theory for Lie superalgebras. I, II

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