Notes on Two-Parameter Quantum Groups, (II) |
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Authors: | Naihong Hu |
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Institution: | Department of Mathematics , East China Normal University , Shanghai , P. R. China |
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Abstract: | This article is the sequel to 11
Hu , N. ,
Pei , Y. ( 2008 ). Notes on two-parameter quantum groups, (I) . Sci. in China, Ser. A 51 ( 6 ): 1101 – 1110 . Google Scholar]] to study the deformed structures and representations of two-parameter quantum groups U r, s (𝔤) associated to the finite dimensional simple Lie algebras 𝔤. An equivalence of the braided tensor categories 𝒪 r, s and 𝒪 q under the assumption rs ?1 = q 2 is explicitly established. |
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Keywords: | Bigraded Hopf algebras Deformed module structures Hopf 2-cocycle deformation 2-Parameter quantum groups |
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