## Distinguished conjugacy classes and elliptic Weyl group elements

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- Represent. Theory
**18**(2014), 223-277 Request permission

## Abstract:

We define and study a correspondence between the set of distinguished $G^0$-conjugacy classes in a fixed connected component of a reductive group $G$ (with $G^0$ almost simple) and the set of (twisted) elliptic conjugacy classes in the Weyl group. We also prove a homogeneity property related to this correspondence.## References

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## Additional Information

**G. Lusztig**- Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@math.mit.edu
- Received by editor(s): September 13, 2013
- Received by editor(s) in revised form: June 9, 2014
- Published electronically: August 26, 2014
- Additional Notes: The author was supported in part by National Science Foundation grant DMS-0758262.
- © Copyright 2014 American Mathematical Society
- Journal: Represent. Theory
**18**(2014), 223-277 - MSC (2010): Primary 20G99
- DOI: https://doi.org/10.1090/S1088-4165-2014-00455-2
- MathSciNet review: 3251707