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Pré-Publication, Document De Travail Année : 2010

Koszul duality and Frobenius structure for restricted enveloping algebras

Résumé

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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Dates et versions

hal-00522983 , version 1 (04-10-2010)

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  • HAL Id : hal-00522983 , version 1

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Simon Riche. Koszul duality and Frobenius structure for restricted enveloping algebras. 2010. ⟨hal-00522983⟩
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