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We give a simple formula for some determinants, and an analogous formula forpfaffians, both of which are polynomial identities. The second involve someexpressions that interpolate between determinants and pfaffians. We giveseveral tableau formulas for difference operators in Types A and C, as well asother operators that appear in the "enriched", or "back-stable" Schubertpolynomials. There are also tableau formulas for the enriched Schubertpolynomials for vexillary and $321$-avoiding permutations.

Identities for Schur-type determinants and pfaffians