Toward a Mackey formula for compact restriction of character sheaves
classification
🧮 math.RT
math.AG
keywords
charactercompactrestrictionformulasheafsheavesadmissiblecertain
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We generalize a result by Cunningham-Salmasian to a Mackey-type formula for the compact restriction of a semisimple perverse sheaf produced by parabolic induction from a character sheaf, under certain conditions on the parahoric group used to define compact restriction. This provides new tools for matching character sheaves with admissible representations.
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