Promotion on generalized oscillating tableaux and web rotation
generalized oscillating tableaux, web rotation, promotion
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.
Proceedings of the 30th Conference on Formal Power Series and Algebraic Combinatorics