Jucys-Murphy elements and the unitary Weingarten function

• Autorzy: Jonathan I. Novak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05E10: Combinatorial aspects of representation theory
• 05E05: Symmetric functions and generalizations
• 15B52: Random matrices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 89
• Numer: 1
• Strony: 231-235

Daty

wydano

2010

Twórcy

autor

Jonathan I. Novak

• Combinatorics & Optimization, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1

Identyfikatory

DOI

10.4064/bc89-0-14