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Down-Up Algebras and Representation Theory

Paula A. A. B. Carvalho·Ian M. Musson
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Abstract

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.

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Paula A. A. B. Carvalho, Ian M. Musson. 1999-03-20. Down-Up Algebras and Representation Theory. https://arxiv.org/abs/math/9903120

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