Faithful representations of groups by automorphisms of topologies.
type: Item
instance of: scholarly article
title: Faithful representations of groups by automorphisms of topologies.
zbMATH Open document ID: 1195.20040
published in: Russian Journal of Mathematical Physics
publication date: 2009-11-10T00:00:00Z
review text: In the present article automorphisms of topologies are considered. They are applied to representations of groups. For this purpose inductor spaces are used. Relations of this approach with graph theory are described. Geometrical aspects including conic spaces, Minkowski space and Lorentz group are discussed. Representations of groups by automorphisms of \(I\)-spaces, topological spaces and graphs are considered. It would be interesting for subsequent investigations to establish relations of such a technique with the classical representation theory in linear spaces and with physical or any other applications.
Mathematics Subject Classification ID: 20F29
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 54H15
zbMATH DE Number: 5628010
zbMATH Keywords: full automorphism groups of topologies
zbMATH Keywords: automorphisms
zbMATH Keywords: faithful representations
zbMATH Keywords: inductor spaces
zbMATH Keywords: topological spaces
author: Alexander V. Koganov
reviewed by: Sergey V. Ludkovsky
MaRDI profile type: Publication
full work available at URL: s11503-008-1008-7
OpenAlex ID: W4251212992
DOI: 10.1007/S11503-008-1008-7
description: scientific article; zbMATH DE number 5628010