## Character sheaves for classical symmetric pairs

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- by Kari Vilonen and Ting Xue; with Appendix B by Dennis Stanton
- Represent. Theory
**26**(2022), 1097-1144 - DOI: https://doi.org/10.1090/ert/622
- Published electronically: October 17, 2022
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## Abstract:

We establish a Springer theory for classical symmetric pairs. We give an explicit description of character sheaves in this setting. In particular we determine the cuspidal character sheaves.## References

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## Bibliographic Information

**Kari Vilonen**- Affiliation: School of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia; and Department of Mathematics and Statistics, University of Helsinki, Helsinki, 00014, Finland
- MR Author ID: 178620
- ORCID: 0000-0003-4231-2910
- Email: kari.vilonen@unimelb.edu.au
**Ting Xue**- Affiliation: School of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia; and Department of Mathematics and Statistics, University of Helsinki, Helsinki, 00014, Finland
- MR Author ID: 779365
- ORCID: 0000-0002-9107-9361
- Email: ting.xue@unimelb.edu.au
**Dennis Stanton**- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, MN 554455
- MR Author ID: 166315
- Email: stant001@umn.edu
- Received by editor(s): December 31, 2021
- Received by editor(s) in revised form: May 12, 2022, May 14, 2022, and June 9, 2022
- Published electronically: October 17, 2022
- Additional Notes: The first author was supported in part by the ARC grants DP150103525 and DP180101445 and the Academy of Finland. The second author was supported in part by the ARC grants DP150103525 and DE160100975.
- © Copyright 2022 American Mathematical Society
- Journal: Represent. Theory
**26**(2022), 1097-1144 - MSC (2020): Primary 20G20, 14L35, 17B08
- DOI: https://doi.org/10.1090/ert/622
- MathSciNet review: 4497390