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Jucys-Murphy elements and the unitary Weingarten function

Jonathan I. Novak — 2010

Banach Center Publications

We describe an approach to the unitary Weingarten function based on the JM elements of symmetric group algebras. When combined with previously known properties of the Weingarten function, this gives a surprising connection with the Moebius function of the lattice of noncrossing partitions.

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