The highest weight representations of the contact Lie superalgebra on \(1|6\)-dimensional supercircle

DOI10.1023/A:1021658117068zbMath0942.17001OpenAlexW2136049826MaRDI QIDQ1574894

N. Delaunay

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021658117068

zbMATH Keywords

Casimir elementShapovalov determinantirreducible Verma modulesLie superalgebra of vector fields

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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The Shapovalov Determinant for the Poisson Superalgebras

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