English

Subdivision and Runner Removal Theorems

Representation Theory 2026-02-27 v1 Combinatorics

Abstract

We develop a combinatorial framework for the subdivision map -- introduced by Maksimau, Mathas and Tubbenhauer -- between the KLR(W) algebras of type Ae1(1)A^{(1)}_{e-1} and type Ae(1)A^{(1)}_{e}, which provides a partial categorification of the runner removal theorems.

Cite

@article{arxiv.2602.22494,
  title  = {Subdivision and Runner Removal Theorems},
  author = {Tao Qin},
  journal= {arXiv preprint arXiv:2602.22494},
  year   = {2026}
}

Comments

53 pages; many tikz figures; comments welcome

R2 v1 2026-07-01T10:53:07.542Z