On bases of quantized enveloping algebras

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We give a systematic description of many monomial bases for a given quantized enveloping algebra and of many integral monomial bases for the associated Lusztig $\mathbb Z[v,v^{-1}]$-form. The relations between monomial bases, PBW bases and canonical bases are also discussed.
13 pages

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Rings and Algebras, Quantum Algebra, 17B37, 16G20

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http://salesiana.dossiersoluciones.com/handle/123456789/68117

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307258
 http://arxiv.org/abs/math/0307258

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arXiv