Some recursive formulas for Selberg-type integrals
Journal article, 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
Author
Sergio Iguri
Instituto de Astronomia y Fisica del Espacio
Toufik Mansour
University of Gothenburg
Chalmers, Mathematical Sciences
Journal of Physics A: Mathematical and Theoretical
1751-8113 (ISSN) 1751-8121 (eISSN)
Vol. 43 6 065201Subject Categories
Mathematics
DOI
10.1088/1751-8113/43/6/065201