72 citations · 1.4k across the 187 of their papers we have counts for
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Principal Realization of the Yangian Y(gl(n))
Chengming Bai, Mo-Lin Ge, Naihuan Jing
Motivated to simplify the structure of tensor representations we give a new set of generators for the Yangian using the principal realization in simple Lie algebras. The…
Wreath Product Symmetric Functions
Frank Ingram, Naihuan Jing, Ernie Stitzinger
We systematically study wreath product Schur functions and give a combinatorial construction using colored partitions and tableaux. The Pieri rule and the Littlewood-Richardson rul…
A quantized Tits-Kantor-Koecher algebra
Yun Gao, Naihuan Jing
We propose a quantum analogue of a Tits-Kantor-Koecher algebra with a Jordan torus as an coordinated algebra by looking at the vertex operator construction over a Fock space.
On classes of local unitary transformations
Naihuan Jing
We give a one-to-one correspondence between classes of density matrices under local unitary invariance and the double cosets of unitary groups. We show that the interrelationship a…
Separability of Multi-Partite Quantum States
Xiaofen Huang, Naihuan Jing
We give a direct tensor decomposition for any density matrix into Hermitian operators. Based upon the decomposition we study when the mixed states are separable and generalize the…
Fermionic realization of toroidal Lie algebras of classical types
Naihuan Jing, Kailash C. Misra
We use fermionic operators to construct toroidal Lie algebras of classical types, including in particular that of symplectic affine algebras, which is first realized by fermions.