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20222026
most citedBraid group action and quasi-split affine quantum groups I

6 citations · 6 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2026

Representation-tame Geiß-Leclerc-Schröer algebras and a revised GLS conjecture on root systems

Qiang Dong, Zengqiang Lin, Ming Lu +1

Using Galois covering theory and equivariant techniques, we classify all connected representation-tame Geiß--Leclerc--Schröer (GLS) algebras in terms of their defining triples $(C,…

math.QA2026

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…

math.RT2026

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…

math.QA2026

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…

math.QA2025

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…

math.QA2024

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 $…

math.RT2024

Hall algebras of weighted projective lines and quantum symmetric pairs II: injectivity

Ming Lu, Shiquan Ruan

We show that the morphism from the quantum loop algebra of split type to the Hall algebra of the weighted…

math.QA2023

Braid group action and quasi-split affine quantum groups II: higher rank

Ming Lu, Weiqiang Wang, Weinan Zhang

This paper studies quantum symmetric pairs associated with quasi-split Satake diagrams of affine type $A_{2r-1}, D_r, E_{6}…

math.RT2023

Derived Hall algebras of root categories

Jiayi Chen, Ming Lu, Shiquan Ruan

For a finitary hereditary abelian category , we define a derived Hall algebra of its root category by counting the triangles and using the octahedral axiom, which is p…

math.RT2022★ 6 cited

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…