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Promotion on generalized oscillating tableaux and web rotation
Book chapter   Open access

Promotion on generalized oscillating tableaux and web rotation

Rebecca Patrias
Proceedings of the 30th Conference on Formal Power Series and Algebraic Combinatorics
2018

Abstract

generalized oscillating tableaux web rotation promotion Mathematics

We introduce the notion of a generalized oscillating tableau and define a pro- motion 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.

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