Down-Up Algebras and Representation Theory

Details Down-Up Algebras and Representation Theory Down-Up Algebras and Representation Theory

1999-03-20

arxiv.org/abs/math/9903120v1

Mathematics

Representation Theory

23 pages, AMS Latex

Scientific paper

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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