CHARACTER SHEAVES FOR CLASSICAL SYMMETRIC PAIRS

K Vilonen; T Xue; D Stanton

Journal article

CHARACTER SHEAVES FOR CLASSICAL SYMMETRIC PAIRS

K Vilonen, T Xue, D Stanton

Representation Theory | AMER MATHEMATICAL SOC | Published : 2022

DOI: 10.1090/ert/622

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

University of Melbourne Researchers

Kari Vilonen Author

Ting Xue Author

Related Projects (3)

Geometric methods in representation theory and the Langlands program

This research project aims to study questions in representation theory of groups using geometric methods. A central role is played by Langla..

Algebraic groups and Springer theory

This project aims to explore representation theory, which is a study of the basic symmetries that occur in nature. By its nature, representa..

Real groups, Hodge theory, and the Langlands program

This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature an..

Grants

Awarded by Academy of Finland

Funding Acknowledgements

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.

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Keywords

4904 Pure Mathematics

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49 Mathematical Sciences