Jakobsen, Hans Plesner; Zhang, Hechun The center of the Dipper Donkin quantized matrix algebra. (English) Zbl 0888.17005 Beitr. Algebra Geom. 38, No. 2, 411-421 (1997). 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 R. Dipper and 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. Reviewer: W.M.McGovern (Seattle) Cited in 2 Documents MSC: 17B37 Quantum groups (quantized enveloping algebras) and related deformations 16S30 Universal enveloping algebras of Lie algebras Keywords:Dipper Donkin quantized matrix algebra; quantum determinant; quantum minor Citations:Zbl 0734.20018 PDFBibTeX XMLCite \textit{H. P. Jakobsen} and \textit{H. Zhang}, Beitr. Algebra Geom. 38, No. 2, 411--421 (1997; Zbl 0888.17005) Full Text: EuDML EMIS