A few comments on Ado's theorem and non-linear Lie groups
type: Item
instance of: scholarly article
title: A few comments on Ado's theorem and non-linear Lie groups
zbMATH Open document ID: 1425.22006
author: Pierre Anglès
published in: Advances in Applied Clifford Algebras
publication date: 2018-08-29T00:00:00Z
review text: In this survey, the author demonstrates by recourse to examples from the literature that not every Lie group has a faithful, finite dimensional, linear representation. This recalls the failure of Ado's theorem for Lie groups.
reviewed by: Raed Raffoul
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 11E88
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 16S30
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16W10
zbMATH DE Number: 6928489
zbMATH Keywords: Lie groups
zbMATH Keywords: Lie algebras
zbMATH Keywords: linear Lie groups
zbMATH Keywords: nonlinear Lie groups
zbMATH Keywords: Ado's theorem
zbMATH Keywords: Heisenberg group
MaRDI profile type: Publication
full work available at URL: s00006-018-0871-x
OpenAlex ID: W2806975414
Wikidata QID: Q115390460
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DOI: 10.1007/S00006-018-0871-X
description: scientific article; zbMATH DE number 6928489