Down-Up Algebras and Representation Theory

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A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby. We classify the finite dimensional simple modules over Noetherian down-up algebras and show that in some cases every finite dimensional module is semisimple. We also study the question of when two down-up algebras are isomorphic.
23 pages, AMS Latex

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Representation Theory, Rings and Algebras, 16P40

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http://salesiana.dossiersoluciones.com/handle/123456789/78244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903120
 http://arxiv.org/abs/math/9903120

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arXiv