209 citations · 1.5k across the 128 of their papers we have counts for
4 papers · 2 filters
Quantum symmetric pairs
Weiqiang Wang
This is a survey of some recent progress on quantum symmetric pairs and applications. The topics include quasi K-matrices, Schur duality, canonical bases, super Kazhdan-Lus…
PBW bases for modified quantum groups
Weiqiang Wang
We construct a basis for a modified quantum group of finite type, extending the PBW bases of positive and negative halves of a quantum group. Generalizing Lusztig's classic results…
Schur duality and Kazhdan-Lusztig basis expanded
Yaolong Shen, Weiqiang Wang
Expanding the classic works of Kazhdan-Lusztig and Deodhar, we establish bar involutions and canonical (i.e., quasi-parabolic KL) bases on quasi-permutation modules over the type B…
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…