## Distinguished strata in a reductive group

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## Abstract:

The set of strata of a reductive group can be viewed as an enlargement of the set of unipotent classes. In this paper the notion of distinguished unipotent class is extended to this larger set. The strata of a Weyl group are also introduced and studied.## 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@mit.edu
- Received by editor(s): January 23, 2022
- Received by editor(s) in revised form: April 26, 2022
- Published electronically: June 30, 2022
- Additional Notes: This work was supported by NSF grant DMS-1855773 and by a Simons Fellowship
- © Copyright 2022 American Mathematical Society
- Journal: Represent. Theory
**26**(2022), 698-713 - MSC (2020): Primary 20G05
- DOI: https://doi.org/10.1090/ert/619
- MathSciNet review: 4446799

Dedicated: Dedicated to the memory of Roger Carter (1934-2022)