Article

Letters in Mathematical Physics

, Volume 91, Issue 2, pp 119-127

First online:

Jucys–Murphy Elements and Weingarten Matrices

  • Paul Zinn-JustinAffiliated withUPMC Univ Paris 6, CNRS UMR 7589, LPTHE Email author 

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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)

05E10 20B30 20C40

Keywords

Weingarten matrix Jucys–Murphy elements orthogonal group