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

Abstract

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 the rank only.

20 pages

References in corpus (2)

• Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces
• Symplectic PBW Degenerate Flag Varieties; PBW Tableaux and Defining Equations

Cited by in corpus (1)

• Symplectic PBW Degenerate Flag Varieties; PBW Tableaux and Defining Equations