Chevalley-Jordan decomposition for a class of locally finite Lie algebras

Ian Stewart

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Soluble subideals of Lie algebras

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Infinite-dimensional Lie algebras in the spirit of infinite group theory

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An improvement of a result of I. N. Stewart

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Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.

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In this work the properties of Cartan subalgebras and weight spaces of finite dimensional Lie algebras are extended to the case of Leibniz algebras. Namely, the relation between Cartan subalgebras and regular elements are described, also an analogue of Cartan s criterion of solvability is proved.

A computer-based approach to the classification of nilpotent Lie algebras.

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