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math.QA2014★ 2 cited
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…
math.QA2014
Modular Macdonald functions and Generalized Newton's identity
Tommy Wuxing Cai, Naihuan Jing, Jian Zhang
Based on a generalized Newton's identity, we construct a family of symmetric functions which deform the modular Hall-Littlewood functions. We also give a determinant formula for th…