Ming Lu

activity

20122026

most citedHall algebras and quantum symmetric pairs of Kac-Moody type

29 citations · 160 across the 31 of their papers we have counts for

collaborators

32 papers

math.RT2026

GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras

Changjian Fu, Zhanhong Liang, Ming Lu

For any symmetrizable generalized intersection matrix (GIM) $C$ , we construct an acyclic valued quiver $(Q, d)$ endowed with an involution $θ$ . Let $D$ be the bou…

math.QA2026

Quiver varieties and dual canonical bases

Ming Lu, Xiaolong Pan

We survey some recent developments on the theory of dual canonical bases for quantum groups and $$ quantum groups. The $$ quiver algebras were introduced by Wang and the…

math.QA2023

Hall algebras and quantum symmetric pairs of Kac-Moody type II

Ming Lu, Runze Shang

We extend the $$ Hall algebra realization of $$ quantum groups arising from quantum symmetric pairs, which establishes an injective homomorphism from the universal $\imat…

math.RT2023

Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras II: braid group actions

Ji Lin, Ming Lu, Shiquan Ruan

Based on the realization of quantum Borcherds-Bozec algebra $U$ and quantum generalized Kac-Moody algebra $^{B} U$ via semi-derived Ringel-…

math.QA2022

$$ Hall algebras and $$ quantum groups

Ming Lu, Weiqiang Wang

We survey some recent development on the theory of $$ Hall algebras. Starting from $$ quivers (aka quivers with involutions), we construct a class of 1-Gorenstein algebra…

math.QA2021

$$ quantum groups of split type via derived Hall algebras

Jiayi Chen, Ming Lu, Shiquan Ruan

A quantum symmetric pair consists of a quantum group $U$ and its coideal subalgebra $U_{ς}^{}$ (called an $$ quantum group) with parameters…