Jucys-Murphy elements and the unitary Weingarten function

Jonathan I. Novak

Banach Center Publications (2010)

  • Volume: 89, Issue: 1, page 231-235
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.