8 citations · 21 across the 39 of their papers we have counts for
5 papers · 1 filter
Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras
Bangming Deng, Shiquan Ruan, Jie Xiao
Let be the category of coherent sheaves over a weighted projective line and let be its bounded derived category. The pre…
T-stabilities for a weighted projective line
Shiquan Ruan, Xintian Wang
The present paper focuses on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the fine…
The dual actions, equivariant autoequivalences and stable tilting objects
Jianmin Chen, Xiao-Wu Chen, Shiquan Ruan
For a finite abelian group action on a linear category, we study the dual action given by the character group acting on the category of equivariant objects. We prove that the group…
Lie algebras arising from 1-cyclic perfect complexes
Shiquan Ruan, Jie Sheng, Haicheng Zhang
Let be the path algebra of a Dynkin quiver over a finite field, and be the category of projective -modules. Denote by the category of 1-…
Exceptional sequences and Drinfeld double Hall algebras
Shiquan Ruan, Haicheng Zhang
Let $\A$ be a finitary hereditary abelian category and $D(\A)$ be its reduced Drinfeld double Hall algebra. By giving explicit formulas in $D(\A)$ for left and right mutations, we…