English

Promotion on Generalized Oscillating Tableaux and Web Rotation

Combinatorics 2017-09-14 v1

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 A2A_2-webs of G. Kuperberg.

Cite

@article{arxiv.1709.04081,
  title  = {Promotion on Generalized Oscillating Tableaux and Web Rotation},
  author = {Rebecca Patrias},
  journal= {arXiv preprint arXiv:1709.04081},
  year   = {2017}
}

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R2 v1 2026-06-22T21:41:07.342Z