A Note on Regularities of The Standard Quantized Matrix Algebra $M_q(n)$

Abstract

Let $M_q(n)$ be the standard quantized matrix algebra (introduced by Faddeev, Reshetikhin, and Takhtajan). It is shown that $M_q(n)$ is Auslander regular, Cohen-Macaulay, Artin-Schelter regular, and a maximal order in its quotient division algebra.

arXiv comment9 pages