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A NOTE ON RANDOM MATRIX INTEGRALS, MOMENT IDENTITIES, AND CATALAN NUMBERS

Part of: Combinatorics Compact groups

Published online by Cambridge University Press:  06 May 2016

Nicholas M. Katz
Nicholas M. Katz*
Affiliation:
Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, U.S.A. email nmk@math.princeton.edu

Abstract

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We relate Catalan numbers and Catalan determinants to random matrix integrals and to moments of spin representations of odd orthogonal groups.

MSC classification

Primary: 22C05: Compact groups
Secondary: 05A19: Combinatorial identities, bijective combinatorics

Information

Type
Research Article
Information
Mathematika , Volume 62 , Issue 3 , 2016 , pp. 811 - 817
Copyright
Copyright © University College London 2016 

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