Growth problems in diagram categories
Representation Theory
2026-04-07 v2 Category Theory
Abstract
In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Keywords
Cite
@article{arxiv.2503.00685,
title = {Growth problems in diagram categories},
author = {Jonathan Gruber and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:2503.00685},
year = {2026}
}
Comments
10 pages, many figures, comments welcome, to appear in Bull. Lond. Math. Soc