Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 033, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.033 (Mi sigma2035) 		 
A Laurent Phenomenon for the Cayley Plane

Oliver Daisey, Tom Ducat

Department of Mathematical Sciences, Durham University, Upper Mountjoy Campus, Stockton Road, Durham DH1 3LE, UK
Full-text PDF (572 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2024.033
Abstract: 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.
Received: October 22, 2023; in final form April 11, 2024; Published online April 15, 2024
Document Type: Article
MSC: 13F60, 14M17
Language: English
Citation: Oliver Daisey, Tom Ducat, “A Laurent Phenomenon for the Cayley Plane”, SIGMA, 20 (2024), 033, 18 pp.
Citation in format AMSBIB
\Bibitem{DaiDuc24}
\by Oliver~Daisey, Tom~Ducat
\paper A Laurent Phenomenon for the Cayley Plane
\jour SIGMA
\yr 2024
\vol 20
\papernumber 033
\totalpages 18
\mathnet{http://mi.mathnet.ru/sigma2035}
\crossref{https://doi.org/10.3842/SIGMA.2024.033}
Linking options:
  • https://www.mathnet.ru/eng/sigma2035
  • https://www.mathnet.ru/eng/sigma/v20/p33
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:25
    Full-text PDF :8
    References:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024