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JCT
2011

On polynomial integrals over the orthogonal group

9 years 5 months ago
On polynomial integrals over the orthogonal group
We consider integrals of type On ua1 11 . . . uan 1nub1 21 . . . ubn 2n 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.
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where JCT
Authors Teodor Banica, Benoit Collins, Jean-Marc Schlenker
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