72 citations · 1.4k across the 187 of their papers we have counts for
8 papers · 2 filters
Quantum Hyperdeterminants and Hyper-Pfaffians
Naihuan Jing, Jian Zhang
The notion of generalized quantum monoids is introduced. It is proved that the quantum coordinate ring of the monoid can be lifted to a quantum hyper-algebra, in which the quantum…
Vertex representations of toroidal special linear Lie superalgebras
Naihuan Jing, Chongbin Xu
Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, free field representation of toroidal Lie superalgebras of type is constructed using both vertex…
Twisted quantum toroidal algebras
Naihuan Jing, Rongjia Liu
We construct a principally graded quantum loop algebra for the Kac-Moody algebra. As a special case a twisted analog of the quantum toroidal algebra is obtained together with the q…
R-matrix realization of two-parameter quantum group U_{r,s}(gl_n)
Naihuan Jing, Ming Liu
We provide a Faddeev-Reshetikhin-Takhtajan's RTT approach to the quantum group Fun(GL_{r,s}(n)) and the quantum enveloping algebra U_{r,s}(gl_n) corresponding to the two-parameter…
Realizations of Affine Lie Algebra A_^(1) at Negative Levels
Jilan Dong, Naihuan Jing
A realization of the affine Lie algebra and the relevant -algebra at negative level is given in terms of parafermions. This generalizes the recent work on rea…
Twisted vertex operators and unitary Lie algebras
Fulin Chen, Yun Gao, Naihuan Jing +1
A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral Z_2-latt…