Author:
Buchweitz Ragnar-Olaf,Leuschke Graham J.,Van den Bergh Michel
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.
Subject
Algebra and Number Theory
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