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Some recursive formulas for Selberg-type integrals

Sergio Iguri ; Toufik Mansour (Institutionen för matematiska vetenskaper)
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (1751-8113). Vol. 43 (2010), 6,
[Artikel, refereegranskad vetenskaplig]

A set of recursive relations satisfied by Selberg-type integrals involving monomial symmetric polynomials are derived, generalizing previous results in Aomoto (1987) SIAM J. Math. Anal. 18 545-49 and Iguri (2009) Lett. Math. Phys. 89 141-58. These formulas provide a well-defined algorithm for computing Selberg-Schur integrals whenever the Kostka numbers relating Schur functions and the corresponding monomial polynomials are explicitly known. We illustrate the usefulness of our results discussing some interesting examples.

Nyckelord: random-matrix theory, root systems, polynomials, algebra, representations, conjecture, operators, proof



Denna post skapades 2011-04-20. Senast ändrad 2016-11-07.
CPL Pubid: 139565

 

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