A Divided Difference Operator

Nicholas Teff 1
1 Department of Mathematics [IOWA]
Abstract : We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety. This construction proves a special case of a recent conjecture of Shareshian and Wachs. Our methods are entirely combinatorial and algebraic, and rely heavily on the combinatorics of root systems and Bruhat order.
Keywords : Weyl groups Bruhat order root systems Schubert calculus.
Type de document :
Communication dans un congrès
Alain Goupil and Gilles Schaeffer. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), pp.993-1004, 2013, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [10 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01229699
Contributeur : Alain Monteil <>
Soumis le : mardi 17 novembre 2015 - 10:20:09
Dernière modification le : mardi 7 mars 2017 - 15:23:59
Document(s) archivé(s) le : jeudi 18 février 2016 - 11:41:18

Fichier

dmAS0184.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01229699, version 1

Collections

TDS-MACS

Citation

Nicholas Teff. A Divided Difference Operator. Alain Goupil and Gilles Schaeffer. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), pp.993-1004, 2013, DMTCS Proceedings. 〈hal-01229699〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

29

Téléchargements de fichiers

83

Contact


archive-ouverte@inria.fr