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20082023
most citedSchubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams

42 citations · 283 across the 36 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.CO2014★ 3 cited

A combinatorial proof that Schubert vs. Schur coefficients are nonnegative

Sami Assaf, Nantel Bergeron, Frank Sottile

We give a combinatorial proof that the product of a Schubert polynomial by a Schur polynomial is a nonnegative sum of Schubert polynomials. Our proof uses Assaf's theory of dual eq…

math.CO2014★ 1 cited

Shifted dual equivalence and Schur P-positivity

Sami Assaf

By considering type B analogs of permutations and tableaux, we extend abstract dual equivalence to type B in two directions. In one direction, we define involutions on signed permu…