Regular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity)

dc.creatorGluschenkov, D. V.
dc.creatorLyakhovskaya, A. V.
dc.date1993-11-12
dc.date.accessioned2026-07-07T09:14:08Z
dc.date.available2026-07-07T09:14:08Z
dc.descriptionPairing between the universal enveloping algebra $U_q(sl(2))$ and the algebra of functions over $SL_q(2)$ is obtained in explicit terms. The regular representation of the quantum double is constructed and investigated. The structure of the root subspaces of the Casimir operator is revealed and described in terms of $SL_q(2)$ elements.
dc.descriptionUUITP-- 27/1993
dc.identifierhttps://arxiv.org/abs/hep-th/9311075
dc.identifierhttp://arxiv.org/abs/hep-th/9311075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152568
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleRegular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity)
dc.typetext

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