Toward a Mackey formula for compact restriction of character sheaves

Details Toward a Mackey formula for compact restriction of character sheaves Toward a Mackey formula for compact restriction of character sheaves

2010-11-08

arxiv.org/abs/1011.1846v1

Mathematics

Representation Theory

Scientific paper

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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