On real Cartan factors
type: Item
instance of: scholarly article
title: On real Cartan factors
zbMATH Open document ID: 0881.17033
DOI: 10.1007/BF02678189
author: Wilhelm Kaup
published in: Manuscripta Mathematica
publication date: 1998-02-05T00:00:00Z
full work available at URL: https://eudml.org/doc/156260
review text: Real forms of (complex) Cartan factors are called real Cartan factors. The author determines the conjugations of the underlying complex Banach space of every non-exceptional (complex) Cartan factor. Jointly with the previous classification of the exceptional types given by O. Loos, this allows to give the classification up to isomorphisms of the real Cartan factors. Automorphisms groups and surjective \(\mathbb{R}\)-linear isometries are studied. Moreover a complete system of invariants is given, which allows to decide when two real or complex Cartan factors are isometrically equivalent as real Banach spaces.
Mathematics Subject Classification ID: 17C65
Mathematics Subject Classification ID: 17C10
Mathematics Subject Classification ID: 17C30
Mathematics Subject Classification ID: 46H70
zbMATH DE Number: 1019708
zbMATH Keywords: \(JB^ \star\)-triple
zbMATH Keywords: Cartan factor
zbMATH Keywords: \(JBW^ \star\)-triple
reviewed by: José Antonio Cuenca Mira
MaRDI profile type: Publication
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OpenAlex ID: W2058165572
description: scientific article; zbMATH DE number 1019708