Reflection equation, twist, and equivariant quantization

J. Donin, A. Mudrov

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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 square HR⊗H and the double D(H). We define FRT- and RE-type algebras and apply them to the problem of equivariant quantization on Lie groups and matrix spaces.

Original languageEnglish
Pages (from-to)11-28
Number of pages18
JournalIsrael Journal of Mathematics
StatePublished - 2003


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