FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 145-150

Graded Lie algebras with null component contained in a sum of commuting algebras

M. I. Kuznetsov

Abstract

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For any characteristic of a ground field, which is supposed to be algebraically closed, the description of transitive irreducible $1$-graded Lie algebras with the null component contained in a sum of commuting nonabelian Lie algebras is obtained.

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Last modified: June 25, 2009