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arXiv · 2205.01747

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

George Balla·Ghislain Fourier·Kunda Kambaso
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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.

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George Balla, Ghislain Fourier, Kunda Kambaso. 2022-05-03. PBW filtration and monomial bases for Demazure modules in types A and C. https://doi.org/10.1007/s13366-022-00660-0

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