Semisimple algebraic tensor categories
Category Theory
2009-09-10 v2 Representation Theory
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.
Cite
@article{arxiv.0909.1793,
title = {Semisimple algebraic tensor categories},
author = {Rainer Weissauer},
journal= {arXiv preprint arXiv:0909.1793},
year = {2009}
}