Space groups and groups of prime-power order. VIII: Pro-p-groups of finite coclass and p-adic Lie algebras (Q1106333)

[For Part VI, cf. \textit{C. R. Leedham-Green}, \textit{S. McKay} and \textit{W. Plesken}, J. Lond. Math. Soc., II. Ser. 34, 417-425 (1986; Zbl 0616.20011).] The work in this paper has provided a major impetus towards establishing (for primeshe corresponding subdiagrams. Let \(e(x)=\dim {\mathcal B}_ x\) (hence the unipotent x is e(x)-regular). The Springer representation of the Weyl group W of G on \(H_{2e(x)}({\mathcal B}_ x;{\mathbb{Q}})\) is known to be the trivial representation if x is regular and the standard representation of W as a Coxeter group (tensored with a sign representation) if x is subregular. In chapter 6 we describe the Springer representation and apply it for 2- regular unipotents.