2 00 2 Reflection Equation , Twist , and Equivariant Quantization
نویسنده
چکیده
We prove that the reflection equation (RE) algebra LR associated with a finite dimensional representation of a quasitriangular Hopf algebra H is twist-equivalent to the corresponding Faddeev-Reshetikhin-Takhtajan (FRT) algebra. We show that LR is a module algebra over the twisted tensor squareH R ⊗H and the double D(H). We define FRTand RE-type algebras and apply them to the problem of equivariant quantization on Lie groups and matrix spaces.
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