Article contents
Characters and growth of admissible representations of reductive p-adic groups
Published online by Cambridge University Press: 13 June 2011
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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 2 , April 2012 , pp. 289 - 331
- Copyright
- Copyright © Cambridge University Press 2012
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