Singular quadratic Lie superalgebras
Mathematical Physics
2012-06-26 v1 math.MP
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.
Cite
@article{arxiv.1206.5504,
title = {Singular quadratic Lie superalgebras},
author = {Minh Thanh Duong and Rosane Ushirobira},
journal= {arXiv preprint arXiv:1206.5504},
year = {2012}
}
Comments
50 pages