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arXiv · 1011.1846

Toward a Mackey formula for compact restriction of character sheaves

Pramod N. Achar·Clifton L. R. Cunningham
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Abstract

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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Pramod N. Achar, Clifton L. R. Cunningham. 2010-11-08. Toward a Mackey formula for compact restriction of character sheaves. https://arxiv.org/abs/1011.1846

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