72 citations · 1.4k across the 187 of their papers we have counts for
6 papers · 2 filters
Quantum Sugawara operators in type
Naihuan Jing, Ming Liu, Alexander Molev
We construct Sugawara operators for the quantum affine algebra of type in an explicit form. The operators are associated with primitive idempotents of the Hecke algebra and par…
Twisted quantum affine algebras and equivariant -coordinated modules for quantum vertex algebras
Naihuan Jing, Fei Kong, Haisheng Li +1
This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish -adic versions of the sma…
Quantum Supergroup , Scasimir Operators, and Dickson polynomials
Fu Liu, Naihong Hu, Naihuan Jing
We study the center of the two-parameter quantum supergroup using the Dickson polynomial. We show that the Scasimir operator is completely determined by the …
Minor identities for Sklyanin determinants
Naihuan Jing, Jian Zhang
We explore the invariant theory of quantum symmetric spaces of orthogonal and symplectic types by employing R-matrix techniques. Our focus involves establishing connections among t…
Center of the Yangian double in type A
Yang Fan, Naihuan Jing
We prove the R-matrix and Drinfeld presentations of the Yangian double in type A are isomorphic. The central elements of the completed Yangian double in type A at the critical leve…
R-Matrix presentation of quantum affine algebra in type
Naihuan Jing, Xia Zhang, Ming Liu
In this paper, we give an RTT presentation of the twisted quantum affine algebra of type and show that it is isomorphic to the Drinfeld new realization via the Gau…