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Integral bases for the universal enveloping algebras of map superalgebras
Authors:Irfan Bagci  Samuel Chamberlin
Institution:1. Department of Mathematics, University of North Georgia, Oakwood, GA 30566, United States;2. Computer Science and Mathematics Department, Park University, Parkville, MO 64152, United States
Abstract:Let gg be a finite dimensional complex simple classical Lie superalgebra and A   be a commutative, associative algebra with unity over CC. In this paper we define an integral form for the universal enveloping algebra of the map superalgebra g⊗AgA, and exhibit an explicit integral basis for this integral form.
Keywords:17B35  17B65
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