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Discrete Mathematics & Theoretical Computer Science |
Jennifer Morse ; Anne Schilling - Affine charge and the $k$-bounded Pieri rule
dmtcs:2470 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2470- 1 Department of mathematics [Philadelphie]
- 2 Department of Mathematics [Univ California Davis]
[en]
We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions. This makes it possible to extend the formulation ofthe Kostka–Foulkes polynomials in terms of solvable lattice models by Nakayashiki and Yamada to the affine setting.
[fr]
Nous proposons une nouvelle description de la règle de Pieri de l’homologie de la variété Grassmannienneaffine et un analogue affine de la statistique de charge en termes de partitions bornées . Il est ainsi possible d’étendreau cas affine la formulation due à Nakayashiki et Yamada des polynômes de Kostka–Foulkes en termes de modèlesde réseaux résolubles.
- Source : OpenAIRE Graph
- Combinatorics in algebra, geometry, and physics; Funder: National Science Foundation; Code: 1301695
- Collaborative Research: SI2-SSE: Sage-Combinat: Developing and Sharing Open Source Software for Algebraic Combinatorics; Funder: National Science Foundation; Code: 1147247