Down-Up Algebras and Representation Theory
表示论
2007-05-23 v1 环与代数
摘要
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.
引用
@article{arxiv.math/9903120,
title = {Down-Up Algebras and Representation Theory},
author = {Paula A. A. B. Carvalho and Ian M. Musson},
journal= {arXiv preprint arXiv:math/9903120},
year = {2007}
}
备注
23 pages, AMS Latex