209 citations · 1.5k across the 128 of their papers we have counts for
4 papers · 2 filters
Quantum Shuffles and Quantum Supergroups of Basic Type
Sean Clark, David Hill, Weiqiang Wang
We initiate the study of several distinguished bases for the positive half of a quantum supergroup associated to a general super Cartan datum of…
Quantum Supergroups III. Twistors
Sean Clark, Zhaobing Fan, Yiqiang Li +1
We establish direct connections at several levels between quantum groups and supergroups associated to bar-consistent super Cartan datum by constructing an automorphism (called twi…
Quantum supergroups II. Canonical basis
Sean Clark, David Hill, Weiqiang Wang
Following Kashiwara's algebraic approach, we construct crystal bases and canonical bases for quantum supergroups with no isotropic odd roots and for their integrable modules.
Quantum Supergroups I. Foundations
Sean Clark, David Hill, Weiqiang Wang
In this part one of a series of papers, we introduce a new version of quantum covering and super groups with no isotropic odd simple root, which is suitable for the studies of inte…