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A Demazure crystal construction for Schubert polynomials
2018
Algebraic Combinatorics
Stanley symmetric functions are the stable limits of Schubert polynomials. In this paper, we show that, conversely, Schubert polynomials are Demazure truncations of Stanley symmetric functions. This parallels the relationship between Schur functions and Demazure characters for the general linear group. We establish this connection by imposing a Demazure crystal structure on key tableaux, recently introduced by the first author in connection with Demazure characters and Schubert polynomials, and
doi:10.5802/alco.13
fatcat:aykhykvqnjh3pau6zreuphaev4