论文标题

一个运算符的家族,生成固定形状的多米诺骨牌和左细胞分解为同种型组件

A family of operators generating domino tableaux of a fixed shape and a decomposition of left cells into isotypic components

论文作者

McGovern, William M.

论文摘要

我们以相同形状的Domino Tableaux成对展示了一组运算符,将它们与相同的正确图表一起发送到其他这样的对,以至于任何两对具有相同正确的tableau的对均与某些操作员组成共轭。使用这些运算符,我们为经典的Kazhdan-Lusztig的同种型组件提供了明确的碱基,就kazhdan-lusztig基础向量而言。

We exhibit a set of operators on pairs of domino tableaux of the same shape sending them to other such pairs with the same right tableau, in such a way that any two pairs with the same right tableau are conjugate by some composition of the operators. Using these operators we give explicit bases for the isotypic components of a classical Kazhdan-Lusztig left cell in terms of Kazhdan-Lusztig basis vectors.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源