Characters and growth of admissible representations of reductive p-adic groups

Details Characters and growth of admissible representations of reductive p-adic groups Characters and growth of admissible representations of reductive p-adic groups

2009-08-11

arxiv.org/abs/0908.1489v2

Mathematics

Representation Theory

Changes in the second version: The proof of Proposition 5.8.b has been corrected. Proposition 4.3 turned out to be false in ge

Scientific paper

We use coefficient systems on the affine Bruhat-Tits building to study
admissible representations of reductive p-adic groups in characteristic not
equal to p. We show that the character function is locally constant and provide
explicit neighbourhoods of constancy. We estimate the growth of the subspaces
of invariants for compact open subgroups.

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