Title
Combinatorics of K-theory via aK-theoretic Poirier–Reutenauer bialgebra
Department/School
Mathematics
Date
3-6-2016
Document Type
Article
Keywords
Bialgebra-theory, Symmetric functions
Abstract
We use the -Knuth equivalence of Buch and Samuel (2015) to define a -theoretic analogue of the Poirier–Reutenauer Hopf algebra. As an application, we rederive the -theoretic Littlewood–Richardson rules of Thomas and Yong (2009, 2011) and of Buch and Samuel (2015).
Published in
Discrete Mathematics
COinS
Citation/Other Information
Patrias, R., & Pylyavskyy, P. (2016). Combinatorics of K-theory via a K-theoretic Poirier-Reutenauer bialgebra. Discrete Mathematics, 339(3): 1095-1115. https://doi.org/10.1016/j.disc.2015.10.044.