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Reflection Equation, Twist, and Equivariant Quantization | | J. Donin
; A. Mudrov
; | | Date: |
24 Apr 2002 | | Journal: | Isr. J. Math. V.136 (2003), 11-28 | | Subject: | Quantum Algebra | math.QA | | Abstract: | We prove that the reflection equation (RE) algebra $La_R$ associated with a finite dimensional representation of a quasitriangular Hopf algebra $Ha$ is twist-equivalent to the corresponding Faddeev-Reshetikhin-Takhtajan (FRT) algebra. We show that $La_R$ is a module algebra over the twisted tensor square wist{$Ha$}{$Ha$} and the double $D(Ha)$. We define FRT- and RE-type algebras and apply them to the problem of equivariant quantization on Lie groups and matrix spaces. | | Source: | arXiv, math.QA/0204295 | | Services: | Forum | Review | PDF | Favorites | |
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