Article ID Journal Published Year Pages File Type
4646924 Discrete Mathematics 2016 21 Pages PDF
Abstract

We use the KK-Knuth equivalence of Buch and Samuel (2015) to define a KK-theoretic analogue of the Poirier–Reutenauer Hopf algebra. As an application, we rederive the KK-theoretic Littlewood–Richardson rules of Thomas and Yong (2009, 2011) and of Buch and Samuel (2015).

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Preview
Combinatorics of KK-theory via a KK-theoretic Poirier–Reutenauer bialgebra
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