Conjugacy Classes in Reductive Groups and Two-sided Cells
by G. Lusztig  

Vol. 14 No. 3 (2019) P.265~P.293

DOI:	https://doi.org/10.21915/BIMAS.2019301
	10.21915/BIMAS.2019301

ABSTRACT

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.

KEYWORDS
conjugacy class, affine Weyl group, two-sided cell

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES

Received: 2017-11-09
Revised : 2018-02-01
Accepted: 2018-02-02

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