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

Abstract

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 realized by means of Gröbner-Shirshov basis theory.

arXiv comment14 pages. According to some strengthened and new results added to version 1, the title of the paper was changed. Moreover, a new author was added