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Two-Parameter Quantum General Linear Supergroups

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 (LT-XII/QTS-X 2017)

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Abstract

The universal R-matrix of two-parameter quantum general linear supergroups is computed explicitly based on the RTT realization of Faddeev–Reshetikhin–Takhtajan.

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Notes

  1. 1.

    In the non-graded case \(\mathcal {R}^0_{V,W}\) is exactly the operator \(s \times \widetilde{f}_{V,W}\) in [2, Sect. 4].

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Author information

Authors and Affiliations

  1. Laboratoire Paul Painlevé, Université de Lille, 59655, Villeneuve d’Ascq, France

    Huafeng Zhang

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  1. Huafeng Zhang
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Correspondence to Huafeng Zhang .

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Editors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Zhang, H. (2018). Two-Parameter Quantum General Linear Supergroups. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 . LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 263. Springer, Singapore. https://doi.org/10.1007/978-981-13-2715-5_24

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