Jucys-Murphy elements and Weingarten matrices

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.

v2: added a reference

References in corpus (3)

• On some properties of orthogonal Weingarten functions
• On the large N limit of matrix integrals over the orthogonal group
• The orthogonal Weingarten formula in compact form

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