3 papers
math.RT2025
Silting reduction, relative AGK's construction and Higgs construction
Yilin Wu
We introduce the notion of a Calabi--Yau quadruple as a generalization of Iyama--Yang's Calabi--Yau triple. For each -Calabi--Yau quadruple, we show that the associated Higg…
math.RT2025
Group actions on relative cluster categories and Higgs categories
Yilin Wu
Let be a finite group acting on an ice quiver with potential . We construct the corresponding -equivariant relative cluster category and -equivariant Higgs cat…
math.RT2021
Relative cluster categories and Higgs categories
Yilin Wu
Cluster categories were introduced in 2006 by Buan-Marsh-Reineke-Reiten-Todorov in order to categorify acyclic cluster algebras without coefficients. Their construction was general…