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A Murgnahan-Nakayama rule for Schubert polynomials

A Murgnahan-Nakayama rule for Schubert polynomials

We expose a rule for multiplying a general Schubert polynomial with a power sum polynomial in $k$ variables. A signed sum over cyclic permutations replaces the signed sum over rim hooks in the classical Murgnahan-Nakayama rule. In the intersection theory of flag manifolds this computes all intersections of Schubert cycles …