论文标题

在第二低的两侧细胞中的某些翻译

Some translations in the second lowest two-sided cell of an affine Weyl group

论文作者

Qiu, Yannan

论文摘要

我们对仿期韦伊尔组翻译的细胞特性感兴趣。我们在仿生Weyl组的第二最低两侧细胞中发现了一些翻译,并使用翻译来对第二个最低两侧细胞中左细胞数量的个人数进行改进。我们验证了类型$ \ tilde a_ {n-1} $和类型$ \ tilde g_2 $的类型的播客Weyl组的完善。

We are interested in cell properties of translations in affine Weyl groups. We find out some translations in the second lowest two-sided cell of an affine Weyl group and use the translations to formulate a refinement of Jianyi Shi's conjecture on the number of left cells in the second lowest two-sided cell. We verify the refinement for an affine Weyl group of type $\tilde A_{n-1}$ and type $\tilde G_2$.

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