论文标题

在类型$ \ tilde b_3 $,ii

The based rings of two-sided cells in an affine Weyl group of type $\tilde B_3$, II

论文作者

Qiu, Yannan, Xi, Nanhua

论文摘要

我们分别计算出与Jordan Blocks(33),(411),(222)中$ sp_6(\ Mathbb c)$中对应于$ sp_6(\ mathbb c)$中的单位类别的双面单元的基于基的环。前两个两侧细胞的结果还验证了lusztig对仿生韦伊尔基团的两侧细胞的结构的猜想。最后两侧细胞的结果部分表明,对lusztig的猜想进行了修改,这些猜想对仿生韦尔基团的两侧细胞的基于环的结构进行了修改。

We compute the based rings of two-sided cells corresponding to the unipotent classes in $Sp_6(\mathbb C)$ with Jordan blocks (33), (411), (222) respectively. The results for the first two two-sided cells also verify Lusztig's conjecture on the structure of the based rings of two-sided cells of an affine Weyl group. The result for the last two-sided cell partially suggests a modification of Lusztig's conjecture on the structure of the based rings of two-sided cells of an affine Weyl group.

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