5 papers
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…
Growth rates of indecomposable summands in tensor powers of representations of quivers
Ming Lu, Yayun Zhang
Tensor products of quiver representations have been extensively studied; typical examples include the pointwise tensor product and the tensor product induced by the coalgebra struc…
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…
Braid group action and quasi-split affine quantum groups I
Ming Lu, Weiqiang Wang, Weinan Zhang
This is the first of two papers on quasi-split affine quantum symmetric pairs , focusing on t…
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…