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Weingarten function

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In mathematics, Weingarten functions rational functions indexed by partitions of integers that can be used to calculate integrals of moments over classical groups.

References

Collins, Benoît; Śniady, Piotr (2006), "Integration with respect to the Haar measure on unitary, orthogonal and symplectic group", Communications in Mathematical Physics, 264 (3): 773–795, doi:10.1007/s00220-006-1554-3, ISSN 0010-3616, MR2217291 Weingarten, Don (1978), "Asymptotic behavior of group integrals in the limit of infinite rank", Journal of Mathematical Physics, 19 (5): 999–1001, doi:10.1063/1.523807, ISSN 0022-2488, MR0471696

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