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.Comment: 30 page
