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Down–Up Algebras and Their Representation Theory

✍ Scribed by Paula A.A.B. Carvalho; Ian M. Musson

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
187 KB
Volume
228
Category
Article
ISSN
0021-8693

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✦ Synopsis

A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby (1998, J. Algebra 209, 305-344). 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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