Letters in Mathematical Physics

, Volume 91, Issue 2, pp 119–127

Jucys–Murphy Elements and Weingarten Matrices

Article

DOI: 10.1007/s11005-009-0365-9

Cite this article as:
Zinn-Justin, P. Lett Math Phys (2010) 91: 119. doi:10.1007/s11005-009-0365-9

Abstract

We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys–Murphy elements.

Mathematics Subject Classification (2000)

05E1020B3020C40

Keywords

Weingarten matrixJucys–Murphy elementsorthogonal group

Copyright information

© Springer 2009

Authors and Affiliations

  1. 1.UPMC Univ Paris 6, CNRS UMR 7589, LPTHEParis CedexFrance