论文标题
纽扣模块的均匀基础
Homogeneous Bases for Demazure Modules
论文作者
论文摘要
我们研究了Asazure模块上的PBW过滤$ v_ {r_γ}（λ）$与反射相关的$r_γ$相关的$r_γ$，正呈阳性$ a_n $，$ c_n $的长根，短根，$ b_n $的短根，正构成$ b_n $的短根，正面根基不涉及简单的根源$ loot $ loot $ loot $α__{n-1 _ {n型$ $ d_ in type $ d_n $ d_n $ d_n $ d_ in type $ d_ in type $ d_n $ d_n $ d_n $ d_n $ d_ in类型。在每种类型中，我们构造一个普通的多层标记，标记相关的分级空间$ \ operatotorName {gr} v_ {r_γ}（λ）$，并证明$ \ operatorname {gr} v_ {r_γ}（r_γ}（λ）$是单一的理想的理想。
We study the PBW filtration on the Demazure modules $V_{r_γ}(λ)$ associated to reflections $r_γ$ at positive roots in type $A_n$, long roots in type $C_n$, short roots in type $B_n$ and positive roots not involving the simple root $α_{n-1}$ in type $D_n$. In each type, we construct a normal polytope labelling a basis for the associated graded space $\operatorname{gr} V_{r_γ}(λ)$ and prove that the annihilating ideal of $\operatorname{gr} V_{r_γ}(λ)$ is a monomial ideal.
