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On Real Irreducible Representations of Lie Algebras

Published online by Cambridge University Press:  22 January 2016

Nagayoshi Iwahori
Nagayoshi Iwahori*
Affiliation:
The College of General Education, University of Tokyo
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Let us consider the following two problems:

Problem A. Let g be a given Lie algebra over the real number field R. Then find all real, irreducible representations of g.

Problem B. Let n be a given positive integer. Then find all irreducible subalgebras of the Lie algebra ôí(w, R) of all real matrices of degree n.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 14 , February 1959 , pp. 59 - 83
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

[1] Cartan, É., Les groupes projectifs continus réels qui ne laissent invariante aucune multiplicité plane, Journ. Math, pures et appL, t. 85 (1914), p. 149–186, or OEuvres complètes t. I, vol 1, p. 493–530.Google Scholar
[2] Séminaire, “Sophus Lie”, Ecole Normale Supérieure (1954-1955).Google Scholar