1. ## A question...

Is there non-linear nilpotent operators? If yes, where it used?

2. Originally Posted by Also sprach Zarathustra
Is there non-linear nilpotent operators? If yes, where it used?
There is only one non-linear operator I know of, although I am sure there are more.

The Schwarzian derivative

As far as I know, though, this is not nilpotent...(it has an inverse)