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This article is cited in 225 scientific papers (total in 226 papers)
Simple irreducible graded Lie algebras of finite growth
V. G. Kac
Abstract:
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.
Received: 13.02.1968
Citation:
V. G. Kac, “Simple irreducible graded Lie algebras of finite growth”, Izv. Akad. Nauk SSSR Ser. Mat., 32:6 (1968), 1323–1367; Math. USSR-Izv., 2:6 (1968), 1271–1311
Linking options:
https://www.mathnet.ru/eng/im2519https://doi.org/10.1070/IM1968v002n06ABEH000729 https://www.mathnet.ru/eng/im/v32/i6/p1323
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Abstract page: | 1623 | Russian version PDF: | 525 | English version PDF: | 46 | References: | 87 | First page: | 1 |
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