Infinite string bricks and Sturmian words over some gentle algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912670367612928 |
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| author | Deaconu, Mark Mousavand, Kaveh Paquette, Charles |
| author_facet | Deaconu, Mark Mousavand, Kaveh Paquette, Charles |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22377 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite string bricks and Sturmian words over some gentle algebras Deaconu, Mark Mousavand, Kaveh Paquette, Charles Representation Theory Combinatorics 16G10, 16G20, 16D80, 05A05 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. |
| title | Infinite string bricks and Sturmian words over some gentle algebras |
| topic | Representation Theory Combinatorics 16G10, 16G20, 16D80, 05A05 |
| url | https://arxiv.org/abs/2510.22377 |