Promotion and cyclic sieving via webs
By Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades. 2008
110 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/bc2f97a55e94418bb99aad1e091358c4295cbe11
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Surveys in Combinatorics 2011: The cyclic sieving phenomenon: a survey (2010, methodology): “A step in this direction for rectangles with 2 or 3 rows was given by Petersen, Pylyavskyy, and Rhoades [53] who reformulated the theorem in a more geometric way.”