From finite to infinite length modules over tame hereditary algebras
Representation Theory
2026-05-01 v1 Rings and Algebras
Abstract
A self-contained introduction to infinite dimensional representations over a tame hereditary algebra is provided, assuming a basic knowledge of the category of finite dimensional representations. This includes a complete description of all pure-injective modules. Of particular interest are the torsionfree divisible modules, which are precisely the direct sums of copies of the unique generic module.
Keywords
Cite
@article{arxiv.2604.27528,
title = {From finite to infinite length modules over tame hereditary algebras},
author = {Lidia Angeleri Hügel and Andrew Hubery and Henning Krause},
journal= {arXiv preprint arXiv:2604.27528},
year = {2026}
}
Comments
19 pages. Submitted for publication in "Annals of Representation Theory" (special volume on the occasion of Claus Michael Ringel's 80th birthday)