Single-SEM Schubert Polynomials

Abstract

We give a pattern-avoidance characterization of $w\in S_n$ such that the Schubert polynomial ${\mathfrak{S}}_w$ is a standard elementary monomial. This characterization tells us which quantum Schubert polynomials are easiest to compute. We solve a similar problem for complete homogeneous monomials.

11 pages, 5 figures