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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2022
- DOI:
- 10.48550/arXiv.2205.01747
- arXiv:
- arXiv:2205.01747
- Bibcode:
- 2022arXiv220501747B
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Combinatorics;
- 05E10;
- 14M15;
- 17B10
- E-Print:
- 20 pages