6 papers
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…
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…
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…