Singular quadratic Lie superalgebras

Abstract

In this paper, we give a generalization of results in \cite{PU07} and \cite{DPU10} by applying the tools of graded Lie algebras to quadratic Lie superalgebras. In this way, we obtain a numerical invariant of quadratic Lie superalgebras and a classification of singular quadratic Lie superalgebras, i.e. those with a nonzero invariant. Finally, we study a class of quadratic Lie superalgebras obtained by the method of generalized double extensions.

50 pages

References in corpus (2)

• Generalized double extension and descriptions of qadratic Lie superalgebras
• Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Cited by in corpus (1)

• A classification of quadratic and odd quadratic Lie superalgebras in low dimensions