Jucys-Murphy elements and the unitary Weingarten function

By Jonathan Novak. 2010

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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.

Subfields: Computational Theory and Mathematics, Electrical and Electronic Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1d4db44d63e02770988e44512b51b041fd8ebd62