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arXiv · 2406.14592

On the Lie algebra of a Malcev algebra

Olufemi O. Oyadare
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Abstract

This paper develops the structure theory of a Malcev algebra via the consideration of its most important and largest Lie (sub-) algebra. We introduce the notion of a Lie algebra which uniquely corresponds to a Malcev algebra and use this correspondence to derive some basic properties of some types of ideals in the Malcev algebra. We then prove the exact nature of the root-space decomposition of a Malcev algebra.

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Olufemi O. Oyadare. 2024-06-20. On the Lie algebra of a Malcev algebra. https://arxiv.org/abs/2406.14592

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