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

Published online by Cambridge University Press:  13 June 2011

Ralf Meyer
Affiliation:
Mathematisches Institut and Courant Centre ‘Higher Order Structures’, Georg-August Universität Göttingen, Bunsenstraβe 3–5, 37073 Göttingen, Germany ([email protected]; [email protected])
Maarten Solleveld
Affiliation:
Mathematisches Institut and Courant Centre ‘Higher Order Structures’, Georg-August Universität Göttingen, Bunsenstraβe 3–5, 37073 Göttingen, Germany ([email protected]; [email protected])

Abstract

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2012

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