Symmetric Jack polynomials from non-symmetric theory Article Received: 25 February 1999 DOI:
Cite this article as: Baker, T.H. & Forrester, P.J. Annals of Combinatorics (1999) 3: 159. doi:10.1007/BF01608781 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
This work was supported by the Australian Research Council.
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