29 citations · 160 across the 31 of their papers we have counts for
8 papers · 1 filter
Quiver varieties and dual canonical bases
Ming Lu, Xiaolong Pan
We survey some recent developments on the theory of dual canonical bases for quantum groups and quantum groups. The quiver algebras were introduced by Wang and the…
Hall algebras and quantum symmetric pairs of Kac-Moody type II
Ming Lu, Runze Shang
We extend the Hall algebra realization of quantum groups arising from quantum symmetric pairs, which establishes an injective homomorphism from the universal $\imat…
Hall algebras and quantum groups
Ming Lu, Weiqiang Wang
We survey some recent development on the theory of Hall algebras. Starting from quivers (aka quivers with involutions), we construct a class of 1-Gorenstein algebra…
quantum groups of split type via derived Hall algebras
Jiayi Chen, Ming Lu, Shiquan Ruan
A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an quantum group) with parameters…
Hall algebras of weighted projective lines and quantum symmetric pairs
Ming Lu, Shiquan Ruan
The Hall algebra of a weighted projective line is defined to be the semi-derived Ringel-Hall algebra of the category of -periodic complexes of coherent sheaves on the we…
Braid group symmetries on quasi-split quantum groups via Hall algebras
Ming Lu, Weiqiang Wang
We establish automorphisms with closed formulas on quasi-split quantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out i…