Reflection Equation, Twist, and Equivariant Quantization
J. Donin, A. Mudrov
Abstract
We prove that the reflection equation (RE) algebra R associated with a finite dimensional representation of a quasitriangular Hopf algebra is twist-equivalent to the corresponding Faddeev-Reshetikhin-Takhtajan (FRT) algebra. We show that R is a module algebra over the twisted tensor square and the double (). We define FRT- and RE-type algebras and apply them to the problem of equivariant quantization on Lie groups and matrix spaces.
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