209 citations · 1.5k across the 128 of their papers we have counts for
6 papers · 2 filters
Lectures on dualities ABC in representation theory
Li Luo, Weiqiang Wang
In these lecture notes for a summer mini-course, we provide an exposition on quantum groups and Hecke algebras, including (quasi) R-matrix, canonical basis, and -Schur duality.…
Hall algebra of the projective line and -Onsager algebra
Ming Lu, Shiquan Ruan, Weiqiang Wang
The Hall algebra of the projective line is by definition the twisted semi-derived Ringel-Hall algebra of the category of -periodic complexes of coherent sheaves on the p…
A Drinfeld type presentation of affine quantum groups I: split ADE type
Ming Lu, Weiqiang Wang
We establish a Drinfeld type new presentation for the quantum groups arising from quantum symmetric pairs of split affine ADE type, which includes the -Onsager algebra a…
Hall algebras and quantum symmetric pairs of Kac-Moody type
Ming Lu, Weiqiang Wang
We extend our Hall algebra construction from acyclic to arbitrary quivers, where the quiver algebras are infinite-dimensional 1-Gorenstein in general. Then…
Cells in affine q-Schur algebras
Weideng Cui, Li Luo, Weiqiang Wang
We develop algebraic and geometrical approaches toward canonical bases for affine q-Schur algebras of arbitrary type introduced in this paper. A duality between an affine q-Schur a…
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…