| Abstract: |
| Let G be a finite group acting on an ice quiver with potential (Q, F, W). In this talk, we will discuss the associated G-action on the relative cluster category and on the Higgs category, and provide the construction of G-equivariant relative cluster category and G-equivariant Higgs category, generalizing the work of Demonet, Paquette-Schiffler, and Le Meur. In the non-simply laced case, the G-equivariant Higgs category can provide an additive categorification for cluster algebras with principal coefficients. |
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