The Standard Quantized Matrix Algebra $M_q(n)$ is A Solvable Polynomial Algebra

Rabigul Tuniyaz

paper

The Standard Quantized Matrix Algebra $M_{q} (n)$ is A Solvable Polynomial Algebra

arXiv:2202.11442

Abstract

Let $M_{q} (n)$ be the standard quantized matrix algebra, introduced by Faddeev, Reshetikhin, and Takhtajan. It is shown, by constructing an appropriate monomial ordering $≺$ on its PBW $K$ -basis $B$ , that $M_{q} (n)$ is a solvable polynomial algebra. Consequently, further structural properties of $M_{q} (n)$ and their modules may be established and realized in a constructive-computational way.

8 pages. arXiv admin note: text overlap with arXiv:2112.13628

The Standard Quantized Matrix Algebra Mq​(n) is A Solvable Polynomial Algebra

Abstract

The Standard Quantized Matrix Algebra $M_{q} (n)$ is A Solvable Polynomial Algebra