Commutation relations among generic quantum minors in $\O_q(M_n(k))$

TL;DR

This paper derives explicit formulas for the commutation relations among quantum minors in the quantum matrix algebra, enhancing understanding of its algebraic structure.

Contribution

It provides the first explicit formulas for quantum minor commutation relations in $ ext{O}_q(M_n(k))$, advancing the algebraic theory of quantum matrices.

Findings

Explicit formulas for quantum minor commutation relations

Improved understanding of quantum matrix algebra structure

Facilitates further research in quantum algebra

Abstract

In this paper we compute explicit formulas for the commutation relations among quantum minors in the quantum matrix bialgebra $\cO_q(M_n(k))$.