Space groups and groups of prime-power order. VIII: Pro-p-groups of finite coclass and p-adic Lie algebras
type: Item
instance of: scholarly article
title: Space groups and groups of prime-power order. VIII: Pro-p-groups of finite coclass and p-adic Lie algebras
zbMATH Open document ID: 0651.20038
DOI: 10.1016/0021-8693(87)90219-5
author: Stephen Donkin
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: [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.
Mathematics Subject Classification ID: 20E18
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 20C11
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 17B40
zbMATH DE Number: 4061510
zbMATH Keywords: Springer representation
zbMATH Keywords: Weyl group
Wikidata QID: Q115366574
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90219-5
OpenAlex ID: W2060789146
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description: scientific article; zbMATH DE number 4061510