Arithmetic groups have rational representation growth

Nir Avni*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Let Γ be an arithmetic lattice in a semisimple algebraic group over a number field. We show that if Γ has the congruence subgroup property, then the number of n-dimensional irreducible representations of Γ grows like nα, where α is a rational number.

Original languageEnglish (US)
Pages (from-to)1009-1056
Number of pages48
JournalAnnals of Mathematics
Issue number2
StatePublished - Sep 2011

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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