Promotion on Generalized Oscillating Tableaux and Web Rotation

Published 12 Sep 2017 in math.CO | (1709.04081v1)

Abstract: 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 $A_2$-webs of G. Kuperberg.

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Rebecca Patrias

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