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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.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…