On Crystal Bases and Enright's Completions

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We 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.
journal version, minor changes; to appear in Journal of Algebra

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Quantum Algebra, Representation Theory, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/155445

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512506
 http://arxiv.org/abs/math/0512506
 J. Algebra 312 (2007), 111--131
 doi:10.1016/j.jalgebra.2006.11.045

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arXiv