15 citations · 37 across the 11 of their papers we have counts for
11 papers
Serre-Lusztig relations for quantum groups III
Xinhong Chen, Ming Lu, Weiqiang Wang
let be a quasi-split universal quantum group associated to a quantum symmetric pair of Kac-Moody…
Serre-Lusztig relations for quantum groups II
Xinhong Chen, Gail Letzter, Ming Lu +1
The Serre relations and the corresponding Serre-Lusztig relations are formulated and established for arbitrary quantum groups arising from quantum symmetric pairs o…
Serre-Lusztig relations for quantum groups
Xinhong Chen, Ming Lu, Weiqiang Wang
Let be a quantum symmetric pair of Kac-Moody type. The quantum groups and the universal quantum groups $\widetilde{\bf U}^\im…
Varieties of modules over the quantum plane
Xinhong Chen, Ming Lu
The quantum plane is the non-commutative polynomial algebra in variables and with . In this paper, we study the module variety of -dimensional modules over the q…
A Serre presentation for the quantum groups
Xinhong Chen, Ming Lu, Weiqiang Wang
Let be a quasi-split quantum symmetric pair of arbitrary Kac-Moody type, where "quasi-split" means the corresponding Satake diagram contains no black node.…
Anti-commuting varieties
Xinhong Chen, Weiqiang Wang
We study the anti-commuting variety which consists of pairs of anti-commuting matrices. We provide an explicit description of its irreducible components and their dimen…
Desingularization of quiver Grassmannians for Gentle algebras
Xinhong Chen, Ming Lu
Following [20], a desingularization of arbitrary quiver Grassmannians for finite dimensional Gorenstein projective modules of 1-Gorenstein gentle algebras is constructed in terms o…
Cohen-Macaulay Auslander algebras of gentle algebras
Xinhong Chen, Ming Lu
For any gentle algebra , following Kalck, we describe the quiver and the relations for its Cohen-Macaulay Auslander algebra e…
Singularity categories of skewed-gentle algebras
Xinhong Chen, Ming Lu
Let be an algebraically closed field. Let be a skewed-gentle triple, and be its corresponding skewed-gentle pair and associated gentl…
The singularity categories of the Cluster-tilted algebras of Dynkin type
Xinhong Chen, Shengfei Geng, Ming Lu
In this paper, we use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in thi…
Coxeter transformations of the derived categories of coherent sheaves
Xinhong Chen, Ming Lu
In this paper, we study the Coxeter transformation of the derived categories of coherent sheaves on smooth complete varieties. We first obtain that if the rank of the Grothendieck…