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arXiv · 2012.13221

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

Yannan Qiu
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Abstract

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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Yannan Qiu. 2020-12-24. Some translations in the second lowest two-sided cell of an affine Weyl group. https://arxiv.org/abs/2012.13221

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