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arXiv · 2604.27528

From finite to infinite length modules over tame hereditary algebras

Lidia Angeleri Hügel·Andrew Hubery·Henning Krause
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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.

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Lidia Angeleri Hügel, Andrew Hubery, Henning Krause. 2026-04-30. From finite to infinite length modules over tame hereditary algebras. https://arxiv.org/abs/2604.27528

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