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

DOI10.1016/0021-8693(87)90219-5zbMath0651.20038OpenAlexW2060789146WikidataQ115366574 ScholiaQ115366574MaRDI QIDQ1106333

Stephen Donkin

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90219-5

zbMATH Keywords

Weyl groupSpringer representation

Mathematics Subject Classification ID

(p)-adic representations of finite groups (20C11) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Other geometric groups, including crystallographic groups (20H15) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items (8)

Simple Lie algebras and Lie algebras of maximal class ⋮ Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra ⋮ Pro-p groups of finite coclass ⋮ The origins of coclass theory ⋮ Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality ⋮ Almost regular automorphisms ⋮ Narrow algebras and groups ⋮ The structure of finite \(p\)-groups: Effective proof of the coclass conjectures

Cites Work

• Automorphisms of classical Lie algebras
• Space groups and groups of prime-power order. I
• Galois Cohomology
• Regular elements of semisimple algebraic groups
• Galois-Kohomologie halb einfacher algebraischer Gruppen über \(p\)-adischen Körpern. I, II
• Sur une classe de sous-groupes compacts maximaux des groupes de Chevalley sur un corps p-adique. (A class of maximal compact subgroups of Chevalley groups on p-adic fields)
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Sur certains groupes simples
• Book Review: Groups of prime power order. Vol. 1 (with a foreword by Zvonimir Janko); Groups of prime power order. Vol. 2
• Space Groups and Groups of Prime-Power Order, V. A Bound to the Dimension of Space Groups with Fixed Coclass
• Space Groups and Groups of Prime Power Order VI. a Bound to the Dimension of a 2-Adic Space Group with Fixed Coclass
• Introduction to Lie Algebras and Representation Theory
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