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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.2470Affine charge and the $k$-bounded Pieri ruleConference paper
- 1 Department of mathematics [Philadelphie]
- 2 Department of Mathematics [Univ California Davis]
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.
Source: HAL:hal-01337807v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: Charge statistic,Pieri rule,$k$-Schur functions,energy function,affine Schubert calculus,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
- Source : OpenAIRE Graph
- Collaborative Research: SI2-SSE: Sage-Combinat: Developing and Sharing Open Source Software for Algebraic Combinatorics; Funder: National Science Foundation; Code: 1147247
- Combinatorics in algebra, geometry, and physics; Funder: National Science Foundation; Code: 1301695
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