A Laurent Phenomenon for the Cayley Plane
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909170144378880 |
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| author | Daisey, Oliver Ducat, Tom |
| author_facet | Daisey, Oliver Ducat, Tom |
| contents | We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated to the cominuscule representation of $E_6$. The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the $E_n$ Dynkin diagrams for $n\leq6$. We conjecture the existence of a further finite type LPA, associated to the Freudenthal variety of type $E_7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10223 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Laurent Phenomenon for the Cayley Plane Daisey, Oliver Ducat, Tom Algebraic Geometry We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated to the cominuscule representation of $E_6$. The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the $E_n$ Dynkin diagrams for $n\leq6$. We conjecture the existence of a further finite type LPA, associated to the Freudenthal variety of type $E_7$. |
| title | A Laurent Phenomenon for the Cayley Plane |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2310.10223 |