Left cells in type $B_n$ with unequal parameters
Left cells in type $B_n$ with unequal parameters
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$B_n$ 类型的左侧单元格参数不相等
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
L. Iancu
中科院分区：
文献类型：
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作者：
C. Bonnafé;L. Iancu
Kazhdan和Lusztig证明了由Robinson-Schensted对应所给出的n次对称群到左室的划分。本文的目的是给出一类特殊的不等参数选择的$B_n$型左单元格的类似描述。这是基于对$B_n$型的Robinson-Schensted对应的推广。我们还给出了左胞表示的显式刻画，并证明了它们是不可约的和可构造的。
Kazhdan and Lusztig have shown that the partition of the symmetric group of degree $n$ into left cells is given by the Robinson-Schensted correspondence. The aim of this paper is to provide a similar description of the left cells in type $B_n$ for a special class of choices of unequal parameters. This is based on a generalization of the Robinson-Schensted correspondence for type $B_n$. We also give an explicit description of the left cell representations and show that they are irreducible and constructible.