Integral bases for the universal enveloping algebras of map superalgebras

preprint2013arXivOpen access

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 g⊗A\mathfrak{g}\otimes A, and exhibit an explicit integral basis for this integral form.

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