Arithmetic groups have rational representation growth

作者：Avni Nir^*

来源：Annals of Mathematics, 2011, 174(2): 1009-1056.

DOI：10.4007/annals.2011.174.2.6

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.

• 出版日期2011-9