English

Generalized double extension and descriptions of qadratic Lie superalgebras

Mathematical Physics 2007-12-04 v1 math.MP Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.0712.0228,
  title  = {Generalized double extension and descriptions of qadratic Lie superalgebras},
  author = {I. Bajo and S. Benayadi and M. Bordemann},
  journal= {arXiv preprint arXiv:0712.0228},
  year   = {2007}
}