Title	The orbits of the Coxeter Transformation and Rowmotion for cominuscule posets
Creator	Yıldırım, Emine
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-10-26T10:32
Description	Let h to be the Coxeter number of a root system. We show that the Coxeter transformation of the incidence algebra coming from the order ideals in a cominuscule poset is periodic of order 'h+1' (up to a sign) in most cases using tools from representation theory of algebras. On the other hand, there is a combinatorial action, called the Rowmotion, defined on cominuscule posets. It is well-known that this action has order 'h' on the order ideals of a cominuscule poset. In this talk, we will demonstrate combinatorial similarities of the orbits of these two actions.
Extent	31.0 minutes
Subject	Mathematics; Combinatorics; Dynamical systems and ergodic theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Queen's University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-04-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0396972
URI	http://hdl.handle.net/2429/77984
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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