Koszul duality and Frobenius structure for restricted enveloping algebras

Details Koszul duality and Frobenius structure for restricted enveloping algebras Koszul duality and Frobenius structure for restricted enveloping algebras

2010-10-04

arxiv.org/abs/1010.0495v1

Mathematics

Representation Theory

30 pages

Scientific paper

Let g be the Lie algebra of a connected, simply connected semisimple algebraic group over an algebraically closed field of sufficiently large positive characteristic. We study the compatibility between the Koszul grading on the restricted enveloping algebra (Ug)_0 of g constructed in a previous paper, and the structure of Frobenius algebra of (Ug)_0. This answers a question raised to the author by W. Soergel.

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