English

On enveloping skew fields of some lie superalgebras

Rings and Algebras 2014-11-20 v1

Abstract

We determine the skew fields of fractions of the enveloping algebra of the Lie superalgebra osp(1, 2) and of some significant subsu-peralgebras of the Lie superalgebra osp(1, 4). We compare the kinds of skew fields arising from this "super" context with the Weyl skew fields in the classical Gelfand-Kirillov property.

Keywords

Cite

@article{arxiv.1411.5293,
  title  = {On enveloping skew fields of some lie superalgebras},
  author = {Jacques Alev and François Dumas},
  journal= {arXiv preprint arXiv:1411.5293},
  year   = {2014}
}