A generalization of perfectly clustering words and band bricks for certain gentle algebras
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, 68R15Keywords: Perfectly clustering words, gentle algebras, bands, bricks
Authors
- Benjamin Dequêne (ORCID: https://orcid.org/0009-0001-1771-8735)
- Yann Palu (ORCID: https://orcid.org/0009-0008-1761-593X)
- Christophe Reutenauer
- Hugh Thomas (ORCID: https://orcid.org/0000-0002-2232-7931)
- Mélodie Lapointe
- Pierre‐Guy Plamondon
Publication Details
- Journal
- Combinatorial Theory
- Published
- 2025-03-14
- DOI
- https://doi.org/10.5070/c65165017
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Canada Research Chairs
- Natural Sciences and Engineering Research Council of Canada