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

Publisher： Cambridge University Press

E-ISSN： 1475-3030|11|2|289-331

ISSN： 1474-7480

Source： Journal of the Institute of Mathematics of Jussieu, Vol.11, Iss.2, 2011-06, pp. : 289-331

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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.

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