English

Integral bases for the universal enveloping algebras of map superalgebras

Representation Theory 2015-05-28 v3 Rings and Algebras

Abstract

Let g\mathfrak{g} be a finite dimensional complex simple classical Lie superalgebra and AA be a commutative, associative algebra with unity over C\mathbb{C}. In this paper we define an integral form for the universal enveloping algebra of the map superalgebra gA\mathfrak{g}\otimes A, and exhibit an explicit integral basis for this integral form.

Keywords

Cite

@article{arxiv.1303.7223,
  title  = {Integral bases for the universal enveloping algebras of map superalgebras},
  author = {Irfan Bagci and Samuel Chamberlin},
  journal= {arXiv preprint arXiv:1303.7223},
  year   = {2015}
}

Comments

To appear in the Journal of Pure and Applied Algebra