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Grassmannians and Koszul duality
Published 8 Nov 2013 in math.RT | (1311.1975v2)
Abstract: Let $X$ be a partial flag variety, stratified by orbits of the Borel. We give a criterion for the category of modular perverse sheaves to be equivalent to modules over a Koszul ring. This implies that modular category $\mathcal O$ is governed by a Koszul-algebra in small examples.
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