An integral form of the quantized enveloping algebra of sl_2 and its completions

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dc.creatorHabiro, Kazuo
dc.date2006-05-11
dc.date.accessioned2026-07-07T07:14:08Z
dc.date.available2026-07-07T07:14:08Z
dc.descriptionWe introduce an integral form U of the quantized enveloping algebra of sl_2. The algebra U is just large enough so that the quasi-R-matrix is contained in a completion of U\otimes U. We study several completions of the algebra U, and determine their centers. This study is motivated by a study of integrality properties of the quantum sl_2 invariants of links and integral homology spheres.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0605313
dc.identifierhttp://arxiv.org/abs/math/0605313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112752
dc.subjectQuantum Algebra
dc.subject17B37; 57M27
dc.titleAn integral form of the quantized enveloping algebra of sl_2 and its completions
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