Morse, Jennifer and Schilling, Anne - 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)
Affine charge and the $k$-bounded Pieri rule

Authors: Morse, Jennifer and Schilling, Anne

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 : oai: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
Submitted on: November 21, 2016
Keywords: affine Schubert calculus,Charge statistic,Pieri rule,$k$-Schur functions,energy function,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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