30 citations · 75 across the 21 of their papers we have counts for
4 papers · 1 filter
An identification of Lusztig's modified forms of quantum algebras and their analogues
Zhaobing Fan, Yiqiang Li
We introduce a multi-parameter twisted Hopf algebra associated with a root datum and show that its modified form is isomorphic to Lusztig's modified quantum algebra under certain r…
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…
A geometric setting for quantum osp(1|2)
Zhaobing Fan, Yiqiang Li
A geometric categorification is given for arbitrary-large-finite-dimensional quotients of quantum osp(1|2) and the tensor product of its simple modules. The modified quantum osp(1|…
Two-parameter quantum algebras, canonical bases and categorifications
Zhaobing Fan, Yiqiang Li
A theory of canonical basis for a two-parameter quantum algebra is developed in parallel with the one in one-parameter case. A geometric construction of the negative part of a two-…