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arXiv · 1010.0495

Koszul duality and Frobenius structure for restricted enveloping algebras

Simon Riche
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Abstract

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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Simon Riche. 2010-10-04. Koszul duality and Frobenius structure for restricted enveloping algebras. https://arxiv.org/abs/1010.0495

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