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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2024 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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

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