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arXiv · 2301.07222

A generalization of perfectly clustering words and band bricks for certain gentle algebras

Benjamin Dequêne·Mélodie Lapointe·Yann Palu·Pierre-Guy Plamondon·Christophe Reutenauer·Hugh Thomas
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Abstract

We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conjecture by the second author on perfectly clustering words.

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Benjamin Dequêne, Mélodie Lapointe, Yann Palu, Pierre-Guy Plamondon, Christophe Reutenauer, Hugh Thomas. 2023-01-17. A generalization of perfectly clustering words and band bricks for certain gentle algebras. https://arxiv.org/abs/2301.07222

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