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Braided Covariance of the Braided Differential Bialgebras Under Quantized Braided Groups

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Abstract

The braided differential bialgebras on braided matrix algebras (with bothmultiplicative and additive coproducts) and on quantum hyperplanes (withadditive coproduct) are proven to be covariant under the braided coactions ofthe quantized braided groups, which contain the usual quantum group-covarianceas a special case. This means that the above braided differential bialgebras havemore and richer symmetries. It is also shown that the braided matrix algebraitself and the related braided differential algebra constitute two braided rings withthe two above-mentioned coproducts.

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Authors and Affiliations

  1. Department of Physics, Jinzhou Teacher's College, Jinzhou, 121003, Liaoning, China

    Ya-Jun Gao

  2. Department of Physics, Dalian University of Technology, Dalian, 116023, China

    Ya-Jun Gao & Yuan-Xing Gui

Authors
  1. Ya-Jun Gao
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  2. Yuan-Xing Gui
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Gao, YJ., Gui, YX. Braided Covariance of the Braided Differential Bialgebras Under Quantized Braided Groups. International Journal of Theoretical Physics 39, 2179–2189 (2000). https://doi.org/10.1023/A:1003699628240

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