Witt groups and unipotent elements in algebraic groups (Q2766403)

This paper gives a natural generalization of G. M. Seitz's result for \(G\) simple. The main result of this paper is the following Theorem: Let \(G\) be a semisimple algebraic group defined over an algebraically closed field \(K\) of good characteristic \(p>0\). Let \(u\in G\) be unipotent, with \(u\neq 1\) and \(o(u)=p^t\) for some \(t\in\mathbb{N}\). Then \(u\in V\), a closed subgroup of \(G\), with \(V\cong W_t(K)\).