Symplectic Frieze Patterns

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Morier-Genoud, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210299
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symplectic Frieze Patterns / S. Morier-Genoud // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 27 назв. — англ.

We introduce a new class of friezes that is related to symplectic geometry. On the algebraic and combinatorics sides, this variant of friezes is related to the cluster algebras involving the Dynkin diagrams of type C₂ and Am. On the geometric side, they are related to the moduli space of Lagrangian...