Centers of down-up algebras
type: Item
instance of: scholarly article
title: Centers of down-up algebras
zbMATH Open document ID: 0932.17007
author: Kaiming Zhao
published in: Journal of Algebra
publication date: 2000-03-12T00:00:00Z
review text: Down-up algebras, which originated in the study of differential posets, were recently defined and studied by \textit{G. Benkart} and \textit{T. Roby} [J. Algebra 209, No. 1, 305-344 (1998; Zbl 0922.17006)]. \textit{G. Benkart} posed an open problem [Contemp. Math. 224, 29-45 (1999; Zbl 0922.17007)] to determine the centers of all down-up algebras. In this paper the author completely solves this problem. As an application, he also gets the centers of homogenizations of down-up algebras.
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 06A07
zbMATH DE Number: 1275256
zbMATH Keywords: differential posets
zbMATH Keywords: centers
zbMATH Keywords: down-up algebras
zbMATH Keywords: homogenizations
reviewed by: Mirela Ştefănescu
MaRDI profile type: Publication
full work available at URL: jabr.1998.7695
OpenAlex ID: W2005887412
cites work: Q4227233
cites work: Down-up algebras
cites work: Q3996998
cites work: Primitive ideals in enveloping algebras
cites work: Two remarks on witten'squantum enveloping algebra
cites work: Differential Posets
cites work: Q3972080
DOI: 10.1006/JABR.1998.7695
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description: scientific article; zbMATH DE number 1275256