For vexillary permutations, the double beta-Edelman-Greene coefficients are shown to be sums of Graham-positive monomials indexed by semistandard set-valued tableaux, with new restrictions on the types of factors appearing.
Permutation patterns, Stan ley symmetric functions, and gener- alized Specht modules
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Tableau formula for vexillary double Edelman--Greene coefficients
For vexillary permutations, the double beta-Edelman-Greene coefficients are shown to be sums of Graham-positive monomials indexed by semistandard set-valued tableaux, with new restrictions on the types of factors appearing.