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arXiv · 1903.04089

From conjugacy classes in the Weyl group to semisimple conjugacy classes

Jeffrey Adams·Xuhua He·Sian Nie
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Abstract

Suppose $G$ is a connected complex semisimple group and $W$ is its Weyl group. The lifting of an element of $W$ to $G$ is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of $W$ to the set of semisimple conjugacy classes of $G$. In this paper, we give a uniform algorithm to compute this map. We also consider the twisted case.

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BibTeXRIS

Jeffrey Adams, Xuhua He, Sian Nie. 2019-03-11. From conjugacy classes in the Weyl group to semisimple conjugacy classes. https://arxiv.org/abs/1903.04089

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