Integral bases for the universal enveloping algebras of map superalgebras

Irfan Bagci, Samuel Chamberlin

Published 2013-03-28, updated 2013-12-10Version 3

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