A Laurent Phenomenon for the Cayley Plane
We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated with the cominuscule representation of ₆. The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the ₙ Dynkin diagrams for ≤ 6. We conjecture...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212162 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Laurent Phenomenon for the Cayley Plane. Oliver Daisey and Tom Ducat. SIGMA 20 (2024), 033, 18 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated with the cominuscule representation of ₆. The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the ₙ Dynkin diagrams for ≤ 6. We conjecture the existence of a further finite type LPA associated to the Freudenthal variety of type ₇.
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| ISSN: | 1815-0659 |