Jones--Wenzl projections and Dyck tilings: type $A$ and $B$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911777668726784 |
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| author | Shigechi, Keiichi |
| author_facet | Shigechi, Keiichi |
| contents | The Jones--Wenzl projections are a special class of elements of the Temperley--Lieb algebra. We prove that the coefficient appearing in the Jones--Wenzl projection is given by a generating function of combinatorial objects, called Dyck tilings. We also show that this correspondence holds for type $B$ case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jones--Wenzl projections and Dyck tilings: type $A$ and $B$ Shigechi, Keiichi Combinatorics Statistical Mechanics Mathematical Physics Quantum Algebra The Jones--Wenzl projections are a special class of elements of the Temperley--Lieb algebra. We prove that the coefficient appearing in the Jones--Wenzl projection is given by a generating function of combinatorial objects, called Dyck tilings. We also show that this correspondence holds for type $B$ case. |
| title | Jones--Wenzl projections and Dyck tilings: type $A$ and $B$ |
| topic | Combinatorics Statistical Mechanics Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2402.09887 |