@article{hatam_johnson_liu_macaulay_2021, title={Determinantal Formulas for SEM Expansions of Schubert Polynomials}, ISSN={["0219-3094"]}, DOI={10.1007/s00026-021-00558-z}, abstractNote={We show that for any permutation w that avoids a certain set of 13 patterns of length 5 and 6, the Schubert polynomial $${\mathfrak {S}}_w$$ can be expressed as the determinant of a matrix of elementary symmetric polynomials in a manner similar to the Jacobi–Trudi identity. For such w, this determinantal formula is equivalent to a (signed) subtraction-free expansion of $$\mathfrak S_w$$ in the basis of standard elementary monomials.}, journal={ANNALS OF COMBINATORICS}, author={Hatam, Hassan and Johnson, Joseph and Liu, Ricky Ini and Macaulay, Maria}, year={2021}, month={Oct} }