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Jucys-Murphy elements and Weingarten matrices

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arxiv 0907.2719 v2 pith:6E6TDHL7 submitted 2009-07-15 math.CO math-phmath.MPmath.RT

P. Zinn-Justin This is my paper · ORCID
classification math.COmath-phmath.MPmath.RT
keywords elementsjucys-murphyweingartencollinscompactformulagroupmatrices
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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.

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Cited by 2 Pith papers

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  1. A refined twist on Hurwitz numbers

    math.CO 2025-08 conditional novelty 8.0 of 10

    A two-parameter CJT refinement of Jucys-Murphy theory interpolates Schur and zonal actions, yields cut-and-join recursions and tropicalizations of b-Hurwitz numbers, and proves piecewise polynomiality of (1+b) times t...

  2. Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

    math.PR 2026-05 unverdicted novelty 6.0 of 10

    Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.

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