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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.
Jonathan I. Novak. "Jucys-Murphy elements and the unitary Weingarten function." Banach Center Publications 89.1 (2010): 231-235. <http://eudml.org/doc/281749>.
@article{JonathanI2010, 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.}, author = {Jonathan I. Novak}, journal = {Banach Center Publications}, keywords = {Jucys-Murphy elements; Weingarten function; symmetric functions; Haar unitary random matrices}, language = {eng}, number = {1}, pages = {231-235}, title = {Jucys-Murphy elements and the unitary Weingarten function}, url = {http://eudml.org/doc/281749}, volume = {89}, year = {2010}, }
TY - JOUR AU - Jonathan I. Novak TI - Jucys-Murphy elements and the unitary Weingarten function JO - Banach Center Publications PY - 2010 VL - 89 IS - 1 SP - 231 EP - 235 AB - 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. LA - eng KW - Jucys-Murphy elements; Weingarten function; symmetric functions; Haar unitary random matrices UR - http://eudml.org/doc/281749 ER -