Geodesic
Arithmetic groups have rational representation growth
Nir Avni1
1 The Hebrew University of Jerusalem<br/> Jerusalem 91904<br/> Israel
Annals of mathematics, Tome 174 (2011) no. 2, pp. 1009-1056.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $\Gamma$ be an arithmetic lattice in a semisimple algebraic group over a number field. We show that if $\Gamma$ has the congruence subgroup property, then the number of $n$-dimensional irreducible representations of $\Gamma$ grows like $n^\alpha$, where $\alpha$ is a rational number.
DOI : 10.4007/annals.2011.174.2.6

Nir Avni 1

1 The Hebrew University of Jerusalem<br/> Jerusalem 91904<br/> Israel 
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Nir Avni. Arithmetic groups have rational representation growth. Annals of mathematics, Tome 174 (2011) no. 2, pp. 1009-1056. doi : 10.4007/annals.2011.174.2.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.2.6/

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