Classification of the finite nonlinear primitive Lie algebras

Classification of the finite nonlinear primitive Lie algebras
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Trans. Amer. Math. Soc. 124 (1966), 313-322 Request permission

References

Shôrô Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ. 13 (1962), 1–34. MR 153782

Les groups de transformations continus, infinis, simples

The classification of complex simple continuous transitive infinite pseudogroups according to E. Cartan

Shoshichi Kobayashi and Tadashi Nagano, On filtered Lie algebras and geometric structures. I, J. Math. Mech. 13 (1964), 875–907. MR 0168704
Shoshichi Kobayashi and Tadashi Nagano, On filtered Lie algebras and geometric structures. II, J. Math. Mech. 14 (1965), 513–521. MR 0185042
Shoshichi Kobayashi and Tadashi Nagano, On filtered Lie algebras and geometric structures. IV, J. Math. Mech. 15 (1966), 163–175. MR 0195993
Hideya Matsumoto, Quelques remarques sur les groupes de Lie algébriques réels, J. Math. Soc. Japan 16 (1964), 419–446 (French). MR 183816, DOI 10.2969/jmsj/01640419

Sur les sous-groupes maximaux non semi-simples des groupes simples

Calvin C. Moore, Compactifications of symmetric spaces, Amer. J. Math. 86 (1964), 201–218. MR 161942, DOI 10.2307/2373040
G. D. Mostow, On maximal subgroups of real Lie groups, Ann. of Math. (2) 74 (1961), 503–517. MR 142687, DOI 10.2307/1970295

Sous-algèbre des algèbres de Lie semi-simples

I. M. Singer and Shlomo Sternberg, The infinite groups of Lie and Cartan. I. The transitive groups, J. Analyse Math. 15 (1965), 1–114. MR 217822, DOI 10.1007/BF02787690