Promotion and cyclic sieving via webs

Details Promotion and cyclic sieving via webs Promotion and cyclic sieving via webs

2008-04-21

arxiv.org/abs/0804.3375v1

Mathematics

Combinatorics

23 pages

Scientific paper

We show that Sch\"utzenberger'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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