On triangular similarity of nilpotent triangular matrices

Ming-Cheng Tsai, Meaza Bogale, Huajun Huang

Let $B_n$ (resp. $U_n$, $N_n$) be the set of $n\times n$ nonsingular (resp. unit, nilpotent) upper triangular matrices. We use a novel approach to explore the $B_n$-similarity orbi…