Jucys-Murphy elements and Weingarten matrices

DOI10.1007/s11005-009-0365-9zbMath1283.05269arXiv0907.2719OpenAlexW3105857317MaRDI QIDQ2270179

Paul Zinn-Justin

Publication date: 15 March 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2719

zbMATH Keywords

orthogonal groupJucys-Murphy elementsWeingarten matrix

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• A new construction of Young's seminormal representation of the symmetric groups
• Symmetric polynomials and the center of the symmetric group ring
• The orthogonal Weingarten formula in compact form
• The large-Nlimit of matrix integrals over the orthogonal group
• On some properties of orthogonal Weingarten functions
• Asymptotic behavior of group integrals in the limit of infinite rank

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