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PBW filtration and monomial bases for Demazure modules in types A and C

PBW filtration and monomial bases for Demazure modules in types A and C

We characterise the symplectic Weyl group elements such that the FFLV basis is compatible with the PBW filtration on symplectic Demazure modules, extending type A results by the second author. Surprisingly, the number of such elements depends not on the type A or C of the Lie algebra but on …