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).

Volume

339

Issue

3

Published in

Discrete Mathematics

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.

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