How do you call a reflection operator whose matrix $R\in\mathbb R^{n\times n}$ is a diagonal of $\pm1$, i.e. the operator flips the signs of some coordinates?
For example in dimension 3: $R = I;\quad R = \text{diag}(1,-1,1); \quad R = -I$.
I found that $R = -I$ is called a point reflection, but I couldn't find a complete classification for other types of reflections.
Thanks! p.