English

Representation stability for diagram algebras

Representation Theory 2020-09-28 v2

Abstract

We introduce stability categories for diagram algebras---analogues to Randal-Williams and Wahl's homogeneous categories. We use these to study representation stability properties of the Temperley--Lieb algebras, the Brauer algebras, and the partition algebras.

Keywords

Cite

@article{arxiv.2009.06346,
  title  = {Representation stability for diagram algebras},
  author = {Peter Patzt},
  journal= {arXiv preprint arXiv:2009.06346},
  year   = {2020}
}

Comments

17 pages, 5 figures, comments welcome

R2 v1 2026-06-23T18:31:10.941Z