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Nov 14, 2012 at 16:31 comment added Abel Stolz Yes, I know that. Unfortunately I want to exclude exactly such characterizations...
Nov 14, 2012 at 16:15 comment added Will Sawin For $PGL_n$, an involution is the first kind if and only if it fixes some point in $\mathbb P^{n-1}$ in the natural action. This is because it is the first kind if and only if it has a $K$-rational eigenvector.
Nov 14, 2012 at 16:00 history asked Abel Stolz CC BY-SA 3.0