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13

JCT
2011

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On polynomial integrals over the orthogonal group

12 years 11 months ago

On polynomial integrals over the orthogonal group

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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

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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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