Arithmetic groups have rational representation growth

Nir Avni

doi:10.4007/annals.2011.174.2.6

Arithmetic groups have rational representation growth

Nir Avni^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

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 n^α, where α is a rational number.

Original language	English (US)
Pages (from-to)	1009-1056
Number of pages	48
Journal	Annals of Mathematics
Volume	174
Issue number	2
DOIs	https://doi.org/10.4007/annals.2011.174.2.6
State	Published - Sep 2011

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2011.174.2.6

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Arithmetic groups have rational representation growth

Abstract

ASJC Scopus subject areas

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