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On the derived category of Grassmannians in arbitrary characteristic (1006.1633v5)
Published 8 Jun 2010 in math.RT and math.AG
Abstract: In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well as a tilting bundle. We show that this tilting bundle has a quasi-hereditary endomorphism ring and we identify the standard, costandard, projective and simple modules of the latter.