The center of the Dipper Donkin quantized matrix algebra
type: Item
instance of: scholarly article
title: The center of the Dipper Donkin quantized matrix algebra
zbMATH Open document ID: 0888.17005
author: H. P. Jakobsen
author: Zhang Hechun
published in: Beiträge zur Algebra und Geometrie
publication date: 1998-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/224012
full work available at URL: no.2
review text: Let \(F\) be a field of characteristic zero and \(M_n(F)\) the algebra of \(n\times n\) matrices over \(F\). A quantization of \(M_n(F)\) was defined by \textit{R. Dipper} and \textit{S. Donkin} in [Proc. Lond. Math. Soc., III. Ser. 63, 165-211 (1991; Zbl 0734.20018)]. The authors compute the center of this quantized algebra in the special case where the parameter \(q\) is a root of unity. This seems to cover the interesting applications.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16S30
zbMATH DE Number: 1066109
zbMATH Keywords: Dipper Donkin quantized matrix algebra
zbMATH Keywords: quantum determinant
zbMATH Keywords: quantum minor
reviewed by: William M. McGovern
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1066109