Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-26T07:20:44.050Z Has data issue: false hasContentIssue false

Faithful Representations of Lie Groups II

Published online by Cambridge University Press:  22 January 2016

Morikuni Gotô*
Affiliation:
Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The present paper is a continuation of Part I. In the introduction of Part I we have explained our main problems and sketched their results. In the present part we shall proceed to give complete proofs of them.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1950

References

[19] Birkhoff, G.: Representability of Lie algebras and Lie groups by matrices, Ann. of Math., Vol. 38 (1937).CrossRefGoogle Scholar
[20] Cartan, E.: Groups simple clos et ouverts et géometrie riemannienne J. Math, pures et appliquées t. 8 (1929).Google Scholar
[21] Ganlmacher, F.: On the classification of real simple Lie groups, Rec. Math., Vol. 5 (1939).Google Scholar
[22] Gotô, M.: Faithful representations of Lie groups I, Mathematica Japonicae, Vol. 1 (1949).Google Scholar
[23] Weyl, H.: Zur Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen, MIL Math. Ztschr. v., 2324 (192425).Google Scholar
[24] Weyl, H.: The classical groups, Princeton (1939).Google Scholar