Symplectic Frieze Patterns
Combinatorics
2019-11-15 v5
Abstract
We introduce a new class of friezes which is related to symplectic geometry. On the algebraic and combinatrics sides, this variant of friezes is related to the cluster algebras involving the Dynkin diagrams of type and . On the geometric side, they are related to the moduli space of Lagrangian configurations of points in the 4-dimensional symplectic space introduced in [Conley C.H., Ovsienko V., Math. Ann. 375 (2019), 1105-1145]. Symplectic friezes share similar combinatorial properties to those of Coxeter friezes and SL-friezes.
Cite
@article{arxiv.1803.06001,
title = {Symplectic Frieze Patterns},
author = {Sophie Morier-Genoud},
journal= {arXiv preprint arXiv:1803.06001},
year = {2019}
}