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Centers of Down–Up Algebras

✍ Scribed by Kaiming Zhao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
214
Category
Article
ISSN
0021-8693

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✦ Synopsis

Down᎐up algebras which originated in the study of differential posets were recently defined and studied by Benkart and Roby. Benkart posed an open problem in her paper: to determine the centers of all down᎐up algebras. Here in this paper we completely solve this problem. As an application we also get the centers of homogenizations of down᎐up algebras.

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