Some Combinatorial Properties of Skew Jack Symmetric Functions
نویسندگان
چکیده
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a couple identities showing that skew functions are semi-invariant up to translation and rotation $\pi$ angle diagram. It follows that, in some special cases, coefficients with respect basis monomial polynomials nonnegative integer coefficients.
منابع مشابه
Jack symmetric functions and some combinatorial properties of young symmetrizers
* During my seven years at Caltech, I had the pleasure of knowing Herb Ryser as a teacher and a colleague. It was difficult not to be inspired by Herb. He held such a deep understanding of combinatorics but was still honestly fascinated by the subject. Through his research, his books, and his students he added immeasurably to the wealth of combinatorial mathematics. + Work partially supported b...
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ژورنال
عنوان ژورنال: Electronic Journal of Combinatorics
سال: 2022
ISSN: ['1077-8926', '1097-1440']
DOI: https://doi.org/10.37236/10542