Flagged Schur Polynomial Duality via a Lattice Path Bijection
نویسندگان
چکیده
This paper proves an identity between flagged Schur polynomials, giving a duality row flags and column flags. generalises both the binomial determinant theorem due to Gessel Viennot symmetric function Aitken. As corollaries we obtain lifts of \(q\)-binomial coefficients polynomials. Our method is path counting argument on novel lattice generalising that used by Viennot.
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ژورنال
عنوان ژورنال: Electronic Journal of Combinatorics
سال: 2023
ISSN: ['1077-8926', '1097-1440']
DOI: https://doi.org/10.37236/11200