Base Change and Representation Growth

Details Base Change and Representation Growth Base Change and Representation Growth

2011-10-27

arxiv.org/abs/1110.6092v2

Mathematics

Group Theory

Preliminary version. Comments are very welcome. v2 numerous corrections

Scientific paper

We relate the asymptotic behaviors of the number of irreducible
representations of an arithmetic lattice and its extension of scalars, assuming
both satisfy the weak Congruence Subgroup Property. More precisely, we show
that the degree of polynomial growth is unchanged by extension of scalars. As a
corollary, we prove a conjecture of Larsen and Lubotzky.

Affiliated with

Also associated with

No associations

Rating

Base Change and Representation Growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Base Change and Representation Growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Base Change and Representation Growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376159