Hua type integrals over unitary groups and over projective limits of unitary groups

Details Hua type integrals over unitary groups and over projective limits of unitary groups Hua type integrals over unitary groups and over projective limits of unitary groups

2000-10-11

arxiv.org/abs/math-ph/0010014v2

Physics

Mathematical Physics

20 pages; the final version; evaluation of some normalizing constants is added

Scientific paper

We discuss some natural maps from a unitary group U(n) to a smaller group U(n-m) (these maps are versions of the Livshic characteristic function). We calculate explicitly the direct images of the Haar measure under some maps. We evaluate some matrix integrals over classical groups and some symmetric spaces (values of the integrals are products of Gamma-functions). These integrals generalize Hua Loo Keng integrals. We construct inverse limits of unitary groups equipped with analogues of the Haar measure and evaluate some integrals over these inverse limits.

Affiliated with

Also associated with

No associations

Rating

Hua type integrals over unitary groups and over projective limits of unitary 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 Hua type integrals over unitary groups and over projective limits of unitary groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hua type integrals over unitary groups and over projective limits of unitary groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407068