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Schubert polynomials for the affine Grassmannian of the symplectic group

โœ Scribed by Thomas Lam; Anne Schilling; Mark Shimozono

Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
600 KB
Volume
264
Category
Article
ISSN
0025-5874

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โœ Rudolf Winkel ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 332 KB

We prove an elegant combinatorial rule for the generation of Schubert polynomials based on box diagrams, which was conjectured by A. Kohnert. The main tools for the proof are (1) a recursive structure of Schubert polynomials and (2) a partial order on the set of box diagrams. As a byproduct we obtai