Iterative Properties of Birational Rowmotion I: Generalities and Skeletal Posets

We study a birational map associated to any finite poset P. This map is a far-reaching generalization (found by Einstein and Propp) of classical rowmotion, which is a certain permutation of the set of order ideals of P. Classical rowmotion has been studied by various authors (Fon-der-Flaass, Cameron...

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Bibliographic Details
Main Authors: Grinberg, Darij, Roby, Tom
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: European Mathematical Information Service (EMIS) 2016
Online Access:http://hdl.handle.net/1721.1/105231
https://orcid.org/0000-0002-9661-8432