The product of any key polynomial with a single-row Schur polynomial expands into key polynomials with coefficients in {-1,0,1}, via a weight-preserving bijection on Kohnert diagrams.
Demazure crystals for Kohnert polynomials
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A Pieri rule for Demazure characters of the general linear group
The product of any key polynomial with a single-row Schur polynomial expands into key polynomials with coefficients in {-1,0,1}, via a weight-preserving bijection on Kohnert diagrams.