Generalized double extension and descriptions of qadratic Lie superalgebras

A Lie superalgebra endowed with a supersymmetric, even, non-degenerate, invariant bilinear form is called a quadratic Lie superalgebra. In this paper we give inductive descriptions of quadratic Lie superalgebras in terms of generalized double extensions.

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Hauptverfasser: Bajo, I, Benayadi, S, Bordemann, M
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creator Bajo, I
Benayadi, S
Bordemann, M
description A Lie superalgebra endowed with a supersymmetric, even, non-degenerate, invariant bilinear form is called a quadratic Lie superalgebra. In this paper we give inductive descriptions of quadratic Lie superalgebras in terms of generalized double extensions.
doi_str_mv 10.48550/arxiv.0712.0228
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subjects Mathematics - Mathematical Physics
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Physics - Mathematical Physics
title Generalized double extension and descriptions of qadratic Lie superalgebras
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