Equivariant cohomology and tensor categories

Details Equivariant cohomology and tensor categories Equivariant cohomology and tensor categories

2008-02-07

arxiv.org/abs/0802.1038v1

Mathematics

Quantum Algebra

6 pages

Scientific paper

We propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermathematics. We also prove generalizations of a number of results in equivariant cohomology, including the Chern-Weil theorem for an arbitrary rigid Lie algebra object. For a quadratic Lie algebra object we obtain a proof of the Duflo isomorphism along the lines of Alekseev-Meinrenken, thereby generalizing their result to Lie superalgebras.

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