This article is cited in 2 papers

Derivations of Lie algebras

A. N. Grishkov

Novosibirsk State University

Abstract: In this paper we prove a theorem on the expansion into a sum of a derivation of a splittable finite-dimensional Lie algebra over a field of characteristic 0. We investigate the structure of the derivation algebra $D(L)$ of a free nilpotent Lie algebra $L$ and we show that the algebra $D$ ($D(L)$) is perfect.

UDC: 519.4

Received: 05.10.1974

 English version: Mathematical Notes, 1976, 20:1, 559–563

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