Some recursive formulas for Selberg-type integrals
Artikel i vetenskaplig tidskrift, 2010

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.

representations

root systems

random-matrix theory

conjecture

proof

algebra

polynomials

operators

Författare

Sergio Iguri

Instituto de Astronomia y Fisica del Espacio

Toufik Mansour

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Journal of Physics A: Mathematical and Theoretical

1751-8113 (ISSN) 1751-8121 (eISSN)

Vol. 43 6

Ämneskategorier

Matematik

DOI

10.1088/1751-8113/43/6/065201