Abstract
Generalized down-up algebras were first introduced in Cassidy and Shelton (Citation2004). Their simple weight modules were classified in Cassidy and Shelton (Citation2004) in the noetherian case, and in Praton (Citation2007) in the non-noetherian case. Here we concentrate on non-noetherian down-up algebras. We show that almost all simple modules are weight modules. We also classify the corresponding primitive ideals.
Notes
Communicated by S. Kleiman.