Structural Properties of The Quantized Matrix Algebra $D_q(n)$ Established by Means of Gröbner-Shirshov Basis Theory

Lina Niu, Rabigul Tuniyaz

Let $D_q(n)$ be the quantized matrix algebra introduced by Dipper and Donkin. It is shown that some structural properties of $D_q(n)$ and their modules may be established and reali…