Geodesic
Simple irreducible graded Lie algebras of finite growth
Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1271-1311.

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We classify the simple graded Lie algebras $G=\bigoplus\limits_{i=-\infty}^{+\infty}G_i$, for which the dimension of the space $G_i$ grows as some power of $|i|$, under the additional assumption that the adjoint representation of $G_0$ on $G_{-1}$ is irreducible. From these results we obtain a classification of the primitive infinite-dimensional Cartan pseudogroups of transformations and a classification of symmetric spaces. 
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V. G. Kac. Simple irreducible graded Lie algebras of finite growth. Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1271-1311. http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a5/

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