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arXiv:0908.1489 [math.RT]AbstractReferencesReviewsResources

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

Ralf Meyer, Maarten Solleveld

Published 2009-08-11, updated 2016-03-07Version 3

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.

Comments: Changes in the third version: the proof of Theorem 7.2 contained some mistakes. We repaired it, but to make it work we had to adjust Definition 7.1 a little
Journal: J. Inst. Math. Jussieu 11 (2012), 289-331
Categories: math.RT
Subjects: 22E50, 20G25
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