Some conjectures on the Schur expansion of Jack polynomials
نویسندگان
چکیده
We present positivity conjectures for the Schur expansion of Jack symmetric functions in two bases given by binomial coefficients. Partial results suggest that there are rich combinatorics to be found these bases, including Eulerian numbers, Stirling quasi-Yamanouchi tableaux, and rook boards. These also lead further about fundamental quasisymmetric expansions which we prove special cases.
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ژورنال
عنوان ژورنال: The Journal of Combinatorics
سال: 2021
ISSN: ['2150-959X', '2156-3527']
DOI: https://doi.org/10.4310/joc.2021.v12.n2.a2