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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1975 Volume 18, Issue 1, Pages 31–40 (Mi mzm7622)

This article is cited in 6 papers

Semidirect sums of Lie algebras

A. L. Onishchik, Yu. B. Khakimdzhanov

M. V. Lomonosov Moscow State University

Abstract: This paper examines the problem of classifying finite-dimensional Lie algebras over the field $C$ with a given radical $\mathfrak{r}$ and also the problem of classifying algebraic Lie algebras with a given nilpotent radical $\mathfrak{r}$. A detailed study is made of the case when $\mathfrak{r}$ is the nilpotent radical of a parabolic subalgebra of a semisimple Lie algebra.

UDC: 519.46

Received: 16.04.1974


 English version:
Mathematical Notes, 1975, 18:1, 600–604

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