Jucys-Murphy elements and the unitary Weingarten function
Jonathan I. Novak
Banach Center Publications, Tome 89 (2010), p. 231-235 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281749 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-14,
     author = {Jonathan I. Novak},
     title = {Jucys-Murphy elements and the unitary Weingarten function},
     journal = {Banach Center Publications},
     volume = {89},
     year = {2010},
     pages = {231-235},
     zbl = {1219.05196},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-14}
}

Jonathan I. Novak. Jucys-Murphy elements and the unitary Weingarten function. Banach Center Publications, Tome 89 (2010) pp. 231-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-14/