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math.CO2026
Dominant permutations, positive mixed-variable formulas, and product-splitting equivalence for (double) Schubert polynomials
Matthew J. Samuel
We present new positive combinatorial formulas for triple Schubert coefficients in mixed-variable products of double Schubert polynomials, ,…
math.CO2026
Triple Quantum Schubert Calculus
Matthew J. Samuel
We prove a triple quantum Pieri formula: the product of a quantum double Schubert polynomial by a quantum factorial elementary polynomial $\wideti…
math.CO2026
The Schubert bialgebra
Matthew J. Samuel
We introduce a Schubert bialgebra , in which polynomials in different numbers of variables multiply to zero and the copro…
math.CO2026
A Littlewood-Richardson Rule for Forest Polynomials
Matthew J. Samuel
The forest polynomials of Nadeau-Tewari form a -basis of whose role for the cohomology of the quasisymmetric flag variety…