Identity excluding groups

Details Identity excluding groups Identity excluding groups

2002-12-20

arxiv.org/abs/math/0212284v1

Bull. Sci. Math. 126 (2002), 763-772

Mathematics

Representation Theory

13 pages

Scientific paper

We consider the class of groups called identity excluding which has the property that any non-trivial irreducible unitary representation restricted to a dense subgroup does not weakly contain the trivial representation. For adapted and strictly aperiodic probability measures on these groups, it is known that the averages of unitary representations converge strongly. We show that motion group of a totally disconnected nilpotent group and certain class of p-adic algebraic groups which includes gruops whose solvable radical is type R are identity excluding. We also prove the convergence of averages of unitary representations for split solvable algebraic groups, which are not necessarily identity excluding.

Affiliated with

Also associated with

No associations

Rating

Identity excluding groups 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 Identity excluding groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Identity excluding groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724710