1 citations · 3 across the 8 of their papers we have counts for
8 papers
Hall algebras of weighted projective lines and quantum symmetric pairs II: injectivity
Ming Lu, Shiquan Ruan
We show that the morphism from the quantum loop algebra of split type to the Hall algebra of the weighted…
On two open questions for extension bundles
Qiang Dong, Shiquan Ruan
In this paper we give positive answers for two open questions on extension bundles over weighted projective lines, raised by Kussin, Lenzing and Meltzer in the paper ``Triangle sin…
Geometric model for weighted projective lines of type
Jianmin Chen, Shiquan Ruan, Hongxia Zhang
We give a geometric model for the category of coherent sheaves over the weighted projective line of type in terms of an annulus with marked points on its boundary. We estab…
Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras II: braid group actions
Ji Lin, Ming Lu, Shiquan Ruan
Based on the realization of quantum Borcherds-Bozec algebra and quantum generalized Kac-Moody algebra via semi-derived Ringel-…
Stability approach to torsion pairs on abelian categories
Mingfa Chen, Yanan Lin, Shiquan Ruan
In this paper we introduce a local-refinement procedure to investigate stability data on an abelian category, and provide a sufficient and necessary condition for a stability data…
New realization of quantum groups via -Hall algebras
Jiayi Chen, Yanan Lin, Shiquan Ruan
For an essentially small hereditary abelian category , we define a new kind of algebra , called the -Hall algebra of . The…