4 papers · 1 filter
Twisted quantum loop algebras via semi-derived Ringel-Hall algebras
Ming Lu, Shiquan Ruan
Twisted quantum loop algebras are a generalization of twisted quantum affine algebras in Drinfeld new presentation. The Hall algebras of Geigle--Lenzing's weighted projective lines…
Double Hall-Littlewood symmetric polynomials
Jiayi Chen, Ming Lu, Shiquan Ruan
We establish a ring isomorphism between the derived Hall algebra of the Jordan quiver and the ring of double symmetric functions (i.e., the ring of symmetric polynomials in two set…
Analogue of Feigin's map on quantum group of split type
Ming Lu, Shiquan Ruan, Haicheng Zhang
The (universal) quantum groups are as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from universal quantum group o…
Hall algebras of weighted projective lines and quantum symmetric pairs III: quasi-split type
Ming Lu, Shiquan Ruan
From a category with an involution , we introduce -complexes, which are a generalization of (bounded) complexes, periodic complexes and modules of $…