Some translations in the second lowest two-sided cell of an affine Weyl group
Representation Theory
2020-12-25 v1
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 and type .
Cite
@article{arxiv.2012.13221,
title = {Some translations in the second lowest two-sided cell of an affine Weyl group},
author = {Yannan Qiu},
journal= {arXiv preprint arXiv:2012.13221},
year = {2020}
}