4 papers
Fixed points of DT transformations, cluster exponents and degrees of Weyl groups
Antoine de Saint Germain, Jiang-Hua Lu
Inspired by a recent work of Y. Mizuno, we show that the DT transformations on a cluster ensemble of finite type admit unique totally positive fixed points, and that the exponents…
Tropical friezes and cluster-additive functions via Fock-Goncharov duality and a conjecture of Ringel
Peigen Cao, Antoine de Saint Germain, Jiang-Hua Lu
We study tropical friezes and cluster-additive functions associated to symmetrizable generalized Cartan matrices in the framework of Fock-Goncharov duality in cluster algebras. In…
Tropical friezes and cluster-additive functions via Fock-Goncharov duality and a conjecture of Ringel
Peigen Cao, Antoine de Saint Germain, Jiang-Hua Lu
We study tropical friezes and cluster-additive functions associated to symmetrizable generalized Cartan matrices in the framework of Fock-Goncharov duality in cluster algebras. In…
Friezes of cluster algebras of geometric type
Antoine de Saint Germain, Min Huang, Jiang-Hua Lu
For a cluster algebra over of geometric type, a of is defined to be a -algebra homomorphism from $\mathcal{A}…