English

A combinatorial model for the transition matrix between the Specht and web bases

Combinatorics 2021-10-19 v1

Abstract

We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and web bases, which answers Rhoades's question. Furthermore, we study enumerative properties of these permutations.

Keywords

Cite

@article{arxiv.2110.08790,
  title  = {A combinatorial model for the transition matrix between the Specht and web bases},
  author = {Byung-Hak Hwang and Jihyeug Jang and Jaeseong Oh},
  journal= {arXiv preprint arXiv:2110.08790},
  year   = {2021}
}

Comments

22 pages, 7 figures, Comments are welcome

R2 v1 2026-06-24T06:57:12.847Z