29 citations · 160 across the 31 of their papers we have counts for
23 papers · 1 filter
GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras
Changjian Fu, Zhanhong Liang, Ming Lu
For any symmetrizable generalized intersection matrix (GIM) , we construct an acyclic valued quiver endowed with an involution . Let be the bou…
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 and quantum generalized Kac-Moody algebra via semi-derived Ringel-…
Hall algebra of Jordan quiver and Hall-Littlewood functions
Ming Lu, Shiquan Ruan, Weiqiang Wang
We show that the Hall algebra of the Jordan quiver is a polynomial ring in infinitely many generators and obtain transition relations among several generating sets. We esta…
Hall algebra of the projective line and -Onsager algebra
Ming Lu, Shiquan Ruan, Weiqiang Wang
The Hall algebra of the projective line is by definition the twisted semi-derived Ringel-Hall algebra of the category of -periodic complexes of coherent sheaves on the p…
A Drinfeld type presentation of affine quantum groups I: split ADE type
Ming Lu, Weiqiang Wang
We establish a Drinfeld type new presentation for the quantum groups arising from quantum symmetric pairs of split affine ADE type, which includes the -Onsager algebra a…
Hall algebras and quantum symmetric pairs of Kac-Moody type
Ming Lu, Weiqiang Wang
We extend our Hall algebra construction from acyclic to arbitrary quivers, where the quiver algebras are infinite-dimensional 1-Gorenstein in general. Then…