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Conjugacy Classes in Reductive Groups and Two-sided Cells

Author(s)
Lusztig, George
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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.
Date issued
2018-02
URI
https://hdl.handle.net/1721.1/125508
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
Publisher
Institute of Mathematics, Academia Sinica
Citation
Lusztig, G.“Conjugacy Classes in Reductive Groups and Two-sided Cells.” Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES 14 (2019): 265-293 © 2019 The Author
Version: Author's final manuscript
ISSN
2304-7909
2304-7895

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