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The center of the Dipper Donkin quantized matrix algebra. (English) Zbl 0888.17005

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.

MSC:

17B37 Quantum groups (quantized enveloping algebras) and related deformations
16S30 Universal enveloping algebras of Lie algebras

Citations:

Zbl 0734.20018
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