8 citations · 8 across the 6 of their papers we have counts for
8 papers
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…
Intersection theory, relative cohomology and the Feynman parametrization
Mingming Lu, Ziwen Wang, Li Lin Yang
We present a novel approach for loop integral reduction in the Feynman parametrization using intersection theory and relative cohomology. In this framework, Feynman integrals corre…
Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
Ming-Chu Lu, Shun-Hui Shi, Gaoyong Sun
The Yang-Lee edge singularity is an intriguing critical phenomenon characterized by nonunitary field theory. However, its experimental realization for interacting many-body systems…
Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras
Ming Lu
We use semi-derived Ringel-Hall algebras of quivers with loops to realize the whole quantum Borcherds-Bozec algebras and quantum generalized Kac-Moody algebras.