29 citations · 160 across the 31 of their papers we have counts for
6 papers · 1 filter
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…
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…
Hall algebra of Jordan quiver and Hall-Littlewood functions
Ming Lu, Shiquan Ruan, Weiqiang Wang
We show that the Hall algebra of the Jordan quiver is a polynomial ring in infinitely many generators and obtain transition relations among several generating sets. We esta…
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…