Character sheaves for symmetric pairs: Special linear groups

Vilonen, Kari; Xue, Ting

doi:10.1090/tran/8825

Character sheaves for symmetric pairs: Special linear groups
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by Kari Vilonen and Ting Xue PDF

Trans. Amer. Math. Soc. 376 (2023), 837-853 Request permission

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.

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