2000 character limit reached
K-theoretic Poirier-Reutenauer bialgebra (1404.4340v1)
Published 16 Apr 2014 in math.CO, math.AG, and math.RA
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.