Jucys-Murphy elements and the unitary Weingarten function
Volume 89 / 2010
Banach Center Publications 89 (2010), 231-235
MSC: Primary 05E05, 05E10;
Secondary 15B52.
DOI: 10.4064/bc89-0-14
Abstract
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.
