Conjugacy Classes in Reductive Groups and Two-sided Cells

Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of elements of G' with semisimple part of finite order is in natural bijection with the set of two-sided cells associated to a certain algebra.

Bibliographic Details
Main Author: Lusztig, George (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematics, Academia Sinica, 2020-05-27T17:29:10Z.
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Description
Summary:Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of elements of G' with semisimple part of finite order is in natural bijection with the set of two-sided cells associated to a certain algebra.
National Science Foundation (U.S.) (Grant DMS-1566618)