Reflection Equation, Twist, and Equivariant Quantization

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dc.creatorDonin, J.
dc.creatorMudrov, A.
dc.date2002-04-24
dc.date.accessioned2026-07-07T04:48:03Z
dc.date.available2026-07-07T04:48:03Z
dc.descriptionWe 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 \twist{$\Ha$}{$\Ha$} 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.
dc.description17 pages, AMS Latex
dc.identifierhttps://arxiv.org/abs/math/0204295
dc.identifierhttp://arxiv.org/abs/math/0204295
dc.identifierIsr. J. Math. V.136 (2003), 11-28
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63902
dc.subjectQuantum Algebra
dc.titleReflection Equation, Twist, and Equivariant Quantization
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