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Discrete Mathematics & Theoretical Computer Science
Article . 2015 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Episciences
Article . 2015
License: CC BY
Data sources: Episciences
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Affine charge and the $k$-bounded Pieri rule

Authors: Jennifer Morse; Anne Schilling;

Affine charge and the $k$-bounded Pieri rule

Abstract

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. 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.

Keywords

affine Schubert calculus, Pieri rule, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], $k$-schur functions, Charge statistic, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], pieri rule, charge statistic, energy function, QA1-939, $k$-Schur functions, affine schubert calculus, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Published in a Diamond OA journal