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math.CO2014
Dual Filtered Graphs
Rebecca Patrias, Pavlo Pylyavskyy
We define a K-theoretic analogue of Fomin's dual graded graphs, which we call dual filtered graphs. The key formula in the definition is DU-UD= D + I. Our major examples are K-theo…
math.CO2014★ 5 cited
K-theoretic Poirier-Reutenauer bialgebra
Rebecca Patrias, Pavlo Pylyavskyy
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…