Physics – Mathematical Physics
Scientific paper
2009-10-07
J. Combin. Theory Ser. A 118 (2011), 778-795
Physics
Mathematical Physics
20 pages
Scientific paper
We consider integrals of type $\int_{O_n}u_{11}^{a_1}...
u_{1n}^{a_n}u_{21}^{b_1}... u_{2n}^{b_n} du$, with respect to the Haar measure
on the orthogonal group. We establish several remarkable invariance properties
satisfied by such integrals, by using combinatorial methods. We present as well
a general formula for such integrals, as a sum of products of factorials.
Banica Teodor
Collins Benoit
Schlenker Jean-Marc
No associations
LandOfFree
On polynomial integrals over the orthogonal group 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 On polynomial integrals over the orthogonal group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On polynomial integrals over the orthogonal group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-36228