3 papers
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 $…