Lengths of Finite Dimensional Representations of PBW Algebras

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We present a proof of an upper bound for the lengths of finite dimensional representations of algebras obeying a modified PBW property, including Lie algebras and quantum groups. The sharpness of the bound is proved and discussed.
6 pages

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Rings and Algebras, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/68663

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309403
 http://arxiv.org/abs/math/0309403

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arXiv