论文标题

A和C型中启用模块的PBW过滤和单基碱基

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

论文作者

Balla, George, Fourier, Ghislain, Kambaso, Kunda

论文摘要

我们表征了符号WEYL组元素,以使FFLV基础与Symbledecazure模块上的PBW过滤兼容,从而扩展了第二作者的类型A结果。令人惊讶的是,此类元素的数量不取决于Lie代数的A类或C,而仅取决于等级。

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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