A Laurent Phenomenon for the Cayley Plane
Algebraic Geometry
2024-04-16 v3
Abstract
We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated to the cominuscule representation of . The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the Dynkin diagrams for . We conjecture the existence of a further finite type LPA, associated to the Freudenthal variety of type .
Cite
@article{arxiv.2310.10223,
title = {A Laurent Phenomenon for the Cayley Plane},
author = {Oliver Daisey and Tom Ducat},
journal= {arXiv preprint arXiv:2310.10223},
year = {2024}
}