Invariant Functions On Cluster Ensembles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916081067622400 |
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| author | Kaufman, Dani |
| author_facet | Kaufman, Dani |
| contents | We define the notion of an invariant function on a cluster ensemble with respect to an action of the cluster modular group on its associated function fields. We realize many examples of previously studied functions as elements of this type of invariant ring and give many new examples. We show that these invariants have geometric and number theoretic interpretations, and classify them for ensembles associated to affine Dynkin diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_15179 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Invariant Functions On Cluster Ensembles Kaufman, Dani Commutative Algebra Representation Theory 13F60 (Primary) 30F60 (Secondary) We define the notion of an invariant function on a cluster ensemble with respect to an action of the cluster modular group on its associated function fields. We realize many examples of previously studied functions as elements of this type of invariant ring and give many new examples. We show that these invariants have geometric and number theoretic interpretations, and classify them for ensembles associated to affine Dynkin diagrams. |
| title | Invariant Functions On Cluster Ensembles |
| topic | Commutative Algebra Representation Theory 13F60 (Primary) 30F60 (Secondary) |
| url | https://arxiv.org/abs/2010.15179 |