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A generalization of perfectly clustering words and band bricks for certain gentle algebras
- Dequêne, Benjamin;
- Lapointe, Mélodie;
- Palu, Yann;
- Plamondon, Pierre-Guy;
- Reutenauer, Christophe;
- Thomas, Hugh
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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.
Mathematics Subject Classifications: 16G20, 68R15
Keywords: Perfectly clustering words, gentle algebras, bands, bricks
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