Integral bases for the universal enveloping algebras of map superalgebras |
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Authors: | Irfan Bagci Samuel Chamberlin |
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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 |
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Abstract: | Let g be a finite dimensional complex simple classical Lie superalgebra and A be a commutative, associative algebra with unity over C. In this paper we define an integral form for the universal enveloping algebra of the map superalgebra g⊗A, and exhibit an explicit integral basis for this integral form. |
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Keywords: | 17B35 17B65 |
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