Representation growth and representation zeta functions of groups

Authors

  • Benjamin Klopsch

DOI:

https://doi.org/10.1285/i15900932v33n1p107

Keywords:

Representations, characters, arithmetic groups, p-adic Lie groups, zeta functions

Abstract

We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as the group $S$ $L$ $n$ (Z) consisting of n x n integer matrices of determinant 1 . In the last two sections we state several results which were recently obtained in joint work with N. Avni, U.Onn and C.Voll.

Downloads

Published

01-06-2013

Issue

Volume 33, Issue 1 (2013)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode