On a class of regular Fréchet-Lie groups
type: Item
instance of: scholarly article
title: On a class of regular Fréchet-Lie groups
zbMATH Open document ID: 1471.58004
author: Nadji Hermas
author: Nabila Bedida
published in: Bulletin of the Iranian Mathematical Society
publication date: 2021-08-02T00:00:00Z
review text: It is well-known that every strong ILB-Lie group carries a natural Fréchet-Lie group structure. In this paper the authors consider a sequence of a certain class of Banach Lie groups with weaker requirements than those conditions on a sequence of strong ILB-Lie groups, and prove that its projective limit is a Milnor's regular Lie Fréchet group. Furthermore, it is provided some regular subgroups of the group of diffeomorphisms \( \mathrm{Diff}(\mathbb{R}^n) \) of \(\mathbb R^n \) which is a regular Lie Fréchet group.
reviewed by: Kaveh Eftekharinasab
Mathematics Subject Classification ID: 58B10
Mathematics Subject Classification ID: 58B25
Mathematics Subject Classification ID: 58D05
Mathematics Subject Classification ID: 58D15
Mathematics Subject Classification ID: 22E65
zbMATH DE Number: 7377326
zbMATH Keywords: Milnor's regularity
zbMATH Keywords: regular Lie groups
zbMATH Keywords: diffeomorphism groups
MaRDI profile type: Publication
full work available at URL: s41980-020-00403-8
OpenAlex ID: W3036678005
Wikidata QID: Q115370974
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DOI: 10.1007/S41980-020-00403-8
description: scientific article; zbMATH DE number 7377326