Down-Up Algebras and Representation Theory
arXiv:math/9903120
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.
23 pages, AMS Latex