On polynomial integrals over the orthogonal group
Mathematical Physics
2019-02-27 v2 math.MP
Abstract
We consider integrals of type , 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.
Keywords
Cite
@article{arxiv.0910.1258,
title = {On polynomial integrals over the orthogonal group},
author = {Teodor Banica and Benoit Collins and Jean-Marc Schlenker},
journal= {arXiv preprint arXiv:0910.1258},
year = {2019}
}
Comments
20 pages