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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