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arXiv · 0909.1793

Semisimple algebraic tensor categories

Rainer Weissauer
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Abstract

A semisimple algebraic tensor category over an algebraically closed field k of characteristic zero is the representation category of all finite dimensional twisted super representations of an affine reductive supergroup G over k. Such a supergroup is reductive if and only if its connected component is reductive. The connected component is reductive if and only if the Lie superalgebra divided by its center is a product of simple Lie algebras of classical type and Lie superalgebras spo(1,2r) of the orthosymplectic types BC_r.

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Rainer Weissauer. 2009-09-09. Semisimple algebraic tensor categories. https://arxiv.org/abs/0909.1793

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