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arXiv · 0803.1331

Arithmetic Groups Have Rational Representation Growth

Nir Avni
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Abstract

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

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Nir Avni. 2008-03-10. Arithmetic Groups Have Rational Representation Growth. https://arxiv.org/abs/0803.1331

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