Conjugacy Classes in Reductive Groups and Two-sided Cells

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.
Subjects:	Article
Online Access:	Get fulltext


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042			\|a dc
100	1	0	\|a Lusztig, George \|e author
100	1	0	\|a Massachusetts Institute of Technology. Department of Mathematics \|e contributor
245	0	0	\|a Conjugacy Classes in Reductive Groups and Two-sided Cells
260			\|b Institute of Mathematics, Academia Sinica, \|c 2020-05-27T17:29:10Z.
856			\|z Get fulltext \|u https://hdl.handle.net/1721.1/125508
520			\|a 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.
520			\|a National Science Foundation (U.S.) (Grant DMS-1566618)
546			\|a en
655	7		\|a Article
773			\|t Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES