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Degenerate flag varieties and Schubert varieties: a characteristic free approach (1502.04590v3)

Published 16 Feb 2015 in math.RT and math.AG

Abstract: We consider the PBW filtrations over the integers of the irreducible highest weight modules in type A and C. We show that the associated graded modules can be realized as Demazure modules for group schemes of the same type and doubled rank. We deduce that the corresponding degenerate flag varieties are isomorphic to Schubert varieties in any characteristic.