English

Asymptotics in finite monoidal categories

Representation Theory 2023-11-10 v2 Category Theory Rings and Algebras

Abstract

We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers in certain monoidal categories with finitely many indecomposable objects, and related structures.

Keywords

Cite

@article{arxiv.2307.03044,
  title  = {Asymptotics in finite monoidal categories},
  author = {Abel Lacabanne and Daniel Tubbenhauer and Pedro Vaz},
  journal= {arXiv preprint arXiv:2307.03044},
  year   = {2023}
}

Comments

10 pages, many figures, revision, comments welcome

R2 v1 2026-06-28T11:23:44.487Z