Promotion and cyclic sieving via webs |
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Authors: | T Kyle Petersen Pavlo Pylyavskyy Brendon Rhoades |
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Institution: | (1) Department of Mathematics, University of Michigan, Ann Arbor, USA;(2) Department of Mathematics, University of California, Berkeley, USA |
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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. |
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Keywords: | Promotion Webs Cyclic sieving |
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