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The existence of maximal invariant subalgebras in simple Cartan-type Lie algebras
Authors:V A Kreknin
Institution:(1) Kherson Division, M. V. Lomonosov Odessa Technological Institute, USSR
Abstract:It is proved that a Cartan-type Lie algebra 
$$\mathfrak{L}$$
contains a maximal subalgebra, invariant with respect to the group of automorphisms of 
$$\mathfrak{L}$$
.Translated from Matematicheskie Zametki, Vol. 9, No. 2, pp. 211–222, February, 1971.The author wishes to express his gratitude to A. I. Kostrikin for the interest he has shown in this work.
Keywords:
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