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arXiv · 2510.22377

Infinite string bricks and Sturmian words over some gentle algebras

Mark Deaconu·Kaveh Mousavand·Charles Paquette
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Abstract

We study infinite string modules that are bricks over some gentle algebras. In particular, we first give a complete classification of these modules over the double-Kronecker gentle algebra and prove that each family is in bijection with a family of Sturmian (binary) words. We then generalize some of our results to a larger family of gentle algebras.

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BibTeXRIS

Mark Deaconu, Kaveh Mousavand, Charles Paquette. 2025-10-25. Infinite string bricks and Sturmian words over some gentle algebras. https://arxiv.org/abs/2510.22377

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