Geodesic
A Laurent Phenomenon for the Cayley Plane
Symmetry, integrability and geometry: methods and applications, Tome 20 (2024) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $E_7$.
Keywords: Laurent phenomenon, cluster structure, mirror symmetry, Cayley plane. 
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     author = {Oliver Daisey and Tom Ducat},
     title = {A {Laurent} {Phenomenon} for the {Cayley} {Plane}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a32/}
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Oliver Daisey; Tom Ducat. A Laurent Phenomenon for the Cayley Plane. Symmetry, integrability and geometry: methods and applications, Tome 20 (2024). http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a32/

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