Arithmetic groups have rational representation growth

نویسنده

  • Nir Avni
چکیده

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, where α is a rational number.

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تاریخ انتشار 2008