Fractal behavior of tensor powers of the two dimensional space in prime characteristic
Representation Theory
2026-03-30 v2 Category Theory
Rings and Algebras
Abstract
We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler functions.
Cite
@article{arxiv.2405.16786,
title = {Fractal behavior of tensor powers of the two dimensional space in prime characteristic},
author = {Kevin Coulembier and Pavel Etingof and Victor Ostrik and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:2405.16786},
year = {2026}
}
Comments
41 pages, many figures, revision, to appear in Contemp. Math., comments welcome