Elementary 𝑝-adic Lie groups have finite construction rank

DOI10.1090/proc/13637zbMath1376.22007arXiv1402.4919OpenAlexW2963335030WikidataQ115290805 ScholiaQ115290805MaRDI QIDQ5354493

Helge Glöckner

Publication date: 4 September 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4919

zbMATH Keywords

totally disconnected group\(p\)-adic Lie groupelementary groupconstruction rank

Mathematics Subject Classification ID

General properties and structure of other Lie groups (22E20)

Cites Work

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• The Mautner phenomenon for p-adic Lie groups
• Groups of integral representation type
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Scale functions on \(p\)-adic Lie groups
• The structure of totally disconnected, locally compact groups
• Contraction groups and scales of automorphisms of totally disconnected locally compact groups
• The Howe-Moore property for real and $p$-adic groups
• Limits of contraction groups and the Tits core
• Elementary totally disconnected locally compact groups
• Totally disconnected locally compact groups locally of finite rank
• Introduction to Lie Algebras and Representation Theory
• The Kernel of the Adjoint Representation of ap-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup

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