English

The polytabloid basis expands positively into the web basis

Combinatorics 2019-12-04 v1

Abstract

We show that the transition matrix from the polytabloid basis to the web basis of the irreducible S2n\mathfrak{S}_{2n}-representation of shape (n,n)(n,n) has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko.

Cite

@article{arxiv.1808.00445,
  title  = {The polytabloid basis expands positively into the web basis},
  author = {Brendon Rhoades},
  journal= {arXiv preprint arXiv:1808.00445},
  year   = {2019}
}

Comments

5 pages

R2 v1 2026-06-23T03:21:54.064Z