Séminaire Lotharingien de Combinatoire, 80B.1 (2018), 12 pp.
Promotion on Generalized Oscillating Tableaux and Web Rotation
We introduce the notion of a generalized oscillating tableau and define a promotion operation on such tableaux that generalizes the classical promotion operation on standard Young tableaux. As our main application, we show that this promotion corresponds to rotation of the irreducible A2-webs of G. Kuperberg.
Received: November 14, 2017.
Accepted: February 17, 2018.
Final version: April 1, 2018.
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