On Crystal Bases and Enright's Completions

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dc.creatorJakelic, Dijana
dc.date2005-12-21
dc.date2007-03-26
dc.date.accessioned2026-07-07T09:22:38Z
dc.date.available2026-07-07T09:22:38Z
dc.descriptionWe investigate the interplay of crystal bases and completions in the sense of Enright on certain nonintegrable representations of quantum groups. We define completions of crystal bases, show that this notion of completion is compatible with Enright's completion of modules, prove that every module in our category has a crystal basis which can be completed and that a completion of the crystal lattice is unique. Furthermore, we give two constructions of the completion of a crystal lattice.
dc.descriptionjournal version, minor changes; to appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0512506
dc.identifierhttp://arxiv.org/abs/math/0512506
dc.identifierJ. Algebra 312 (2007), 111--131
dc.identifierdoi:10.1016/j.jalgebra.2006.11.045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155445
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleOn Crystal Bases and Enright's Completions
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