K-theoretic Poirier-Reutenauer bialgebra

Published 16 Apr 2014 in math.CO, math.AG, and math.RA | (1404.4340v1)

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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