Koszul duality and Frobenius structure for restricted enveloping algebras

Simon Riche (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Théorie des représentations [math.RT]

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