9 citations · 38 across the 22 of their papers we have counts for
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math.QA2017★ 5 cited
Capelli identity on multiparameter quantum linear groups
Naihuan Jing, Jian Zhang
A quantum Capelli identity is given on the multiparameter quantum general linear group based on the -condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)…
math.QA2017★ 2 cited
Quantum Howe duality and invariant polynomials
Vyacheslav Futorny, Libor Krizka, Jian Zhang
We construct two examples of q-deformed classical Howe dual pairs (sl(2,C), sl(2,C)) and (sl(2,C), sl(n,C)). Moreover, we obtain a noncommutative version of the first fundamental t…
math.QA2017★ 1 cited
Multiparameter quantum Pfaffians
Naihuan Jing, Jian Zhang
The multiparameter quantum Pfaffian of the -quantum group is introduced and studied together with the quantum determinant, and an identity relating the two invariants is gi…