Mathematics – Operator Algebras
Scientific paper
2000-07-17
Mathematics
Operator Algebras
30 pages
Scientific paper
We construct irreducible unitary representations of a finitely generated free group which are weakly contained in the left regular representation and in which a given linear combination of the generators has an eigenvalue. When the eigenvalue is specified, we conjecture that there is only one such representation. The representation we have found is described explicitly (modulo inversion of a certain rational map on euclidean space) in terms of a positive definite function, and also by means of a quasi-invariant probability measure on the combinatorial boundary of the group.
No associations
LandOfFree
Some irreducible free group representations in which a linear combination of the generators has an eigenvalue 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 Some irreducible free group representations in which a linear combination of the generators has an eigenvalue, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some irreducible free group representations in which a linear combination of the generators has an eigenvalue will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-192270