Knop F (2003)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2003
Publisher: Elsevier
Book Volume: 260
Pages Range: 194-229
Journal Issue: 1
DOI: 10.1016/S0021-8693(02)00633-6
We study the generalization of shifted Jack polynomials to arbitrary multiplicity free spaces. In a previous paper we showed that these polynomials are eigenfunctions for commuting difference operators. Our central result now is the "transposition formula", a generalization of Okounkov's binomial theorem for shifted Jack polynomials. From this formula, we derive an interpolation formula, an evaluation formula, a scalar product, a binomial theorem, and properties of the algebra generated by the multiplication and difference operators.
APA:
Knop, F. (2003). Combinatorics and invariant differential operators on multiplicity free spaces. Journal of Algebra, 260(1), 194-229. https://dx.doi.org/10.1016/S0021-8693(02)00633-6
MLA:
Knop, Friedrich. "Combinatorics and invariant differential operators on multiplicity free spaces." Journal of Algebra 260.1 (2003): 194-229.
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