Strongly Independent Matrices and Applications on the Rigidity of $A$-Invariant Measures on $n$-Torus

Huichi Huang, Enhui Shi, Hui Xu

We introduce the notion of strongly independent matrices and show the existence of strongly independent matrices in $GL(n,\mathbb{Z})$ over ${\mathbb{Z}}^n\setminus \{0\}$ when $2n+1$…