30 citations · 75 across the 21 of their papers we have counts for
9 papers · 1 filter
Differential operator approach to quantum groups and their oscillator representations
Zhaobing Fan, Jicheng Geng, Shaolong Han
For a quasi-split Satake diagram, we define a modified -Weyl algebra, and show that there is an algebra homomorphism between it and the corresponding quantum group. In o…
Braid group actions of quantum Borcherds-Bozec algebras
Zhaobing Fan, Bolun Tong
In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra and its weight module , on which the generators with real…
Global bases for quantum Borcherds-Bozec algebras
Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1
We provide a construction of global bases for quantum Borcherds-Bozec algebras and their integrable highest weight representations.
Drinfeld double of deformed quantum algebras
Zhaobing Fan, Junjing Xing
We provide a deformation, , of Lusztig algebra . Various quantum algebras in literatures, including half parts of two-parameter quantum algebras, quantu…
Affine flag varieties and quantum symmetric pairs, II. Multiplication formula
Zhaobing Fan, Yiqiang Li
We establish a multiplication formula for a tridiagonal standard basis element in the idempotented coideal subalgebras of quantum affine arising from the geometry…
Affine Hecke algebras and quantum symmetric pairs
Zhaobing Fan, Chun-Ju Lai, Yiqiang Li +2
We introduce an affine Schur algebra via the affine Hecke algebra associated to Weyl group of affine type C. We establish multiplication formulas on the affine Hecke algebra and af…
Positivity of Canonical Bases under Comultiplication
Zhaobing Fan, Yiqiang Li
We show the positivity of the canonical basis for a modified quantum affine under the comultiplication. Moreover, we establish the positivity of the i-canonical b…
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…