$\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra

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dc.creatorDonin, J.
dc.creatorMudrov, A.
dc.date2001-08-16
dc.date2002-12-24
dc.date.accessioned2026-07-07T04:43:00Z
dc.date.available2026-07-07T04:43:00Z
dc.descriptionWe study relations between the two-parameter $\U_q(sl(n))$-invariant deformation quantization on $sl^*(n)$ and the reflection equation algebra. The latter is described by a quantum permutation on $\End(\C^n)$ given explicitly. The reflection equation algebra is used for constructing the one-parameter quantization on coadjoint orbits, including symmetric and certain bisymmetric and nilpotent ones. Our approach is based on embedding the quantized function algebras on the orbits into the algebra of functions on the quantum group $SL_q(n)$ via reflection equation algebra characters.
dc.descriptionReplaced by the journal version, AMS LaTeX 19 pages
dc.identifierhttps://arxiv.org/abs/math/0108112
dc.identifierhttp://arxiv.org/abs/math/0108112
dc.identifierContemp. Math. V. 315, AMS, Providence, RI (2002) 61-80
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62029
dc.subjectQuantum Algebra
dc.title$\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra
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