Strongly reversible classes in SL( n , ℂ)
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity · Proceedings of the Edinburgh Mathematical Society · 2025
Abstract An element of a group is called strongly reversible or strongly real if it can be expressed as a product of two involutions. We provide necessary and sufficient conditions for an element of $\mathrm{SL}(n,\mathbb{C})$ to be a product of two involutions. In particular, we classify the strongly reversible conjugacy classes in $\mathrm{SL}(n,\mathbb{C})$ .