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
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.