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arxiv: 1303.7223 · v3 · pith:CKO5JQ53new · submitted 2013-03-28 · 🧮 math.RT · math.RA

Integral bases for the universal enveloping algebras of map superalgebras

classification 🧮 math.RT math.RA
keywords integralalgebraenvelopingformmathfraksuperalgebrauniversalalgebras
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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.

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