The Shapovalov Determinant for the Poisson Superalgebras

DOI10.2991/jnmp.2001.8.2.6zbMath1049.17004arXivmath/0104287OpenAlexW2128051746MaRDI QIDQ2747842

Dimitry Leites, Pavel Grozman

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/math/0104287

zbMATH Keywords

Lie superalgebrasirreducible Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20)

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The Kac Construction of the Centre of U(g) for Lie Superalgebras ⋮ Shapovalov determinant for loop superalgebras

Cites Work

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• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)