On Orbits of Order Ideals of Minuscule Posets

An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras. For these minuscule posets, it is shown that the Fon-Der-Flaass action exhibits the cyclic sieving phenomenon, as defined by Reine...

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Bibliographic Details
Main Authors: David B. Rush, Xiaolin Shi
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2013-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/12804/pdf