K-theoretic Poirier-Reutenauer bialgebra
Combinatorics
2014-04-17 v1 Algebraic Geometry
Rings and Algebras
Abstract
We use the K-Knuth equivalence of Buch and Samuel to define a K-theoretic analogue of the Poirier-Reutenauer Hopf algebra. As an application, we rederive the K-theoretic Littlewood-Richardson rules of Thomas and Yong and of Buch and Samuel.
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Cite
@article{arxiv.1404.4340,
title = {K-theoretic Poirier-Reutenauer bialgebra},
author = {Rebecca Patrias and Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:1404.4340},
year = {2014}
}
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25 pages