Journal article

CHARACTER SHEAVES FOR SYMMETRIC PAIRS: SPECIAL LINEAR GROUPS

K Vilonen, T Xue

Transactions of the American Mathematical Society | Published : 2023

DOI: 10.1090/tran/8825

Abstract

We give an explicit description of character sheaves for the symmetric pairs associated to inner involutions of the special linear groups. We make use of the general strategy given in Vilonen and Xue [Character sheaves for classical symmetric pairs, Represent. Theory 26 (2022), 1097–1144] and central character consideration. We also determine the cuspidal character sheaves.

University of Melbourne Researchers

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Keywords

4904 Pure Mathematics
49 Mathematical Sciences