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Promotion and cyclic sieving via webs
Authors:T Kyle Petersen  Pavlo Pylyavskyy  Brendon Rhoades
Institution:(1) Department of Mathematics, University of Michigan, Ann Arbor, USA;(2) Department of Mathematics, University of California, Berkeley, USA
Abstract:We show that Schützenberger’s promotion on two and three row rectangular Young tableaux can be realized as cyclic rotation of certain planar graphs introduced by Kuperberg. Moreover, following work of the third author, we show that this action admits the cyclic sieving phenomenon.
Keywords:Promotion  Webs  Cyclic sieving
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