8 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
Drinfeld presentation of affine iquantum groups via iHopf algebras
Ming Lu, Xiaolong Pan
Affine quantum groups and affine iquantum groups admit two complementary descriptions: a Serre-type presentation and a Dri…
iQuantum groups and iHopf algebras II: dual canonical bases
Jiayi Chen, Ming Lu, Xiaolong Pan +2
Building on the iHopf algebra realization of quasi-split universal iquantum groups developed in a prequel, we construct the dual canonical basis for a universal iquantum group of a…
Quantum symmetric pairs via Hall algebras
Ming Lu, Zhuoyi Zhao
A quantum symmetric pair consists of a quantum group and its coideal subalgebra . The Hall algebra constructions of $\wideti…
iQuantum groups and iHopf algebras I: foundation
Jiayi Chen, Ming Lu, Xiaolong Pan +2
We introduce the notion of iHopf algebra, a new associative algebra structure defined on a Hopf algebra equipped with a Hopf pairing. The iHopf algebra on a Borel quantum group end…
Dual canonical bases of quantum groups and quantum groups I: Hall algebras
Ming Lu, Xiaolong Pan
The quantum groups have two realizations: one via the Hall algebras and the other via the quantum Grothendieck rings of quiver varieties, as developed by the first…