Cluster Modular Groups of Affine and Doubly Extended Cluster Algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912311664443392 |
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| author | Kaufman, Dani Greenberg, Zachary |
| author_facet | Kaufman, Dani Greenberg, Zachary |
| contents | We calculate the cluster modular groups of affine and doubly extended typecluster algebras in a uniform way by introducing a new family of quivers. We use this uniformdescription to construct a natural finite quotient of the cluster complex of each affine anddoubly extended cluster algebra. Using this construction, we introduce the notion of affineand doubly extended generalized associahedra, and count their facets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_10334 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cluster Modular Groups of Affine and Doubly Extended Cluster Algebras Kaufman, Dani Greenberg, Zachary Combinatorics Commutative Algebra We calculate the cluster modular groups of affine and doubly extended typecluster algebras in a uniform way by introducing a new family of quivers. We use this uniformdescription to construct a natural finite quotient of the cluster complex of each affine anddoubly extended cluster algebra. Using this construction, we introduce the notion of affineand doubly extended generalized associahedra, and count their facets. |
| title | Cluster Modular Groups of Affine and Doubly Extended Cluster Algebras |
| topic | Combinatorics Commutative Algebra |
| url | https://arxiv.org/abs/2107.10334 |