Questions tagged [unipotent-matrices]

A square matrix $A$ is unipotent if $A-I$, where $I$ is an identity matrix, is nilpotent.

3
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Unipotent elements in a Lie group

In a matrix Lie group $G$, we say that $g\in G$ is unipotent if $$(g-I)^n=0 $$ for some $n\in \mathbb{N}.$ I read in a Tao's article, that More generally, we say that an element g of a Lie group ...
2
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$\mathbb{F}_q$-rational elements in unipotent classes of simple algebraic group in positive characteristic

Sorry in advance if this question is trivial or trivially false. I haven't managed to find a satisfactory proof (or reference of one), or a counterexample for it. Let $k$ be the algebraic closure of ...