Annals of Combinatorics

, Volume 3, Issue 2, pp 159–170

Symmetric Jack polynomials from non-symmetric theory

  • T. H. Baker
  • P. J. Forrester
Article

DOI: 10.1007/BF01608781

Cite this article as:
Baker, T.H. & Forrester, P.J. Annals of Combinatorics (1999) 3: 159. doi:10.1007/BF01608781
  • 69 Downloads

Abstract

We show how a number of fundamental properties of the symmetric and anti-symmetric Jack polynomials can be derived from knowledge of the corresponding properties of the nonsymmetric Jack polynomials. These properties include orthogonality relations, normalization formulas, a specialization formula and the evaluation of a proportionality constant relating the anti-symmetric Jack polynomials to a product of differences multiplied by the symmetric Jack polynomials with a shifted parameter.

AMS Subject Classification

33C80 

Keywords

Jack polynomials symmetric functions 

Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • T. H. Baker
    • 1
  • P. J. Forrester
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia
  2. 2.RIMSKyoto UniversityKyotoJapan

Personalised recommendations