Abstract
Considering a (2n+2)-polygon P, a geometric realization was proposed for cluster algebra B of type B. As an application, a cluster expansion formula was presented for each cluster variable of B and the relationship between clusters of B and triangulations of P were clarified. At the same time, the correspondence between orbit flips of σ-invariant triangulations Γ and mutations of clusters of B was constructed based on a designed commutative diagram.
| Translated title of the contribution | A Geometric Realization Method for Type B Cluster Algebras |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 534-539 |
| Number of pages | 6 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 43 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 2023 |