A Unified View of Determinantal Expansions for Jack Polynomials
نویسنده
چکیده
Recently Lapointe et. al. [3] have expressed Jack Polynomials as determinants in monomial symmetric functions mλ. We express these polynomials as determinants in elementary symmetric functions eλ, showing a fundamental symmetry between these two expansions. Moreover, both expansions are obtained indifferently by applying the Calogero-Sutherland operator in physics or quasi Laplace Beltrami operators arising from differential geometry and statistics. Examples are given, and comments on the sparseness of the determinants so obtained conclude the paper.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 8 شماره
صفحات -
تاریخ انتشار 2001