Specializations of Grothendieck polynomials

Anders S. Buch; Richárd Rimányi

doi:10.1016/j.crma.2004.04.015

Combinatorics/Algebraic Geometry

Specializations of Grothendieck polynomials
[Spécialisation de polynômes de Grothendieck]

Présenté par : Jacques Tits

Anders S. Buch ¹ ; Richárd Rimányi ²

¹ Matematisk Institut, Aarhus Universitet, Ny Munkegade, 8000 Århus C, Denmark
² Department of Mathematics, The University of North Carolina at Chapel Hill, CB #3250, Phillips Hall, Chapel Hill, NC 27599, USA

Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 1-4.

Résumé
Abstract

On démontre une formule pour les polynômes de Schubert et de Grothendieck dans le cas de réarrangements du même ensemble de variables. Cette formule généralise les formules usuelles pour ces polynômes en termes de RC-graphes et donne des démonstrations immédiates de plusieurs propriétés importantes de ces polynômes.

We prove a formula for double Schubert and Grothendieck polynomials, specialized to two re-arrangements of the same set of variables. Our formula generalizes the usual formulas for Schubert and Grothendieck polynomials in terms of RC-graphs, and it gives immediate proofs of many other important properties of these polynomials.

Reçu le : 2003-09-05
Accepté le : 2004-04-05
Publié le : 2004-05-28

DOI : 10.1016/j.crma.2004.04.015

Affiliations des auteurs :

Anders S. Buch ¹ ; Richárd Rimányi ²

¹ Matematisk Institut, Aarhus Universitet, Ny Munkegade, 8000 Århus C, Denmark
² Department of Mathematics, The University of North Carolina at Chapel Hill, CB #3250, Phillips Hall, Chapel Hill, NC 27599, USA

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Anders S. Buch; Richárd Rimányi. Specializations of Grothendieck polynomials. Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 1-4. doi : 10.1016/j.crma.2004.04.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.04.015/

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Cité par 13 documents. Sources : Crossref, zbMATH

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