72 citations · 1.4k across the 187 of their papers we have counts for
15 papers · 1 filter
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…
The shifted Poirier-Reutenauer algebra
Naihuan Jing, Yunnan Li
Based on the shifted Schensted correspondence and the shifted Knuth equivalence, a shifted analog of the Poirier-Reutenauer algebra as a higher lift of Schur's P-functions and a ri…
Vertex operators arising from Jacobi-Trudi identities
Naihuan Jing, Natasha Rozhkovskaya
We give an interpretation of the boson-fermion correspondence as a direct consequence of Jacobi-Trudi identity. This viewpoint enables us to construct from a generalized version of…
One-Way Deficit of Two Qubit X States
Yao-Kun Wang, Naihuan Jing, Shao-Ming Fei +3
Quantum deficit originates in questions regarding work extraction from quantum systems coupled to a heat bath [Phys. Rev. Lett. 89, 180402 (2002)]. It links quantum correlations wi…
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…
A lift of Schur's Q-functions to the peak algebra
Naihuan Jing, Yunnan Li
We construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with s…