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arxiv: 1701.07458 · v1 · pith:DJBUX33Rnew · submitted 2017-01-25 · 🧮 math.QA · math.RA

Multiparameter quantum Pfaffians

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keywords quantummultiparameterconsidereddeterminantgeneralizationgivengrouphyper-pfaffian
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The multiparameter quantum Pfaffian of the $(p, \lambda)$-quantum group is introduced and studied together with the quantum determinant, and an identity relating the two invariants is given. Generalization to the multiparameter hyper-Pfaffian and relationship with the quantum minors are also considered.

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