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Lie algebra extensions related with linear bundles of Lie brackets

A. B. Yanovski
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Abstract

We consider some special type extensions of an arbitrary Lie algebra ${\cal G}$, arising in the theory of Lie-Poisson structures over $({\cal G}^*)^n$, where ${\cal G}^*$ is the dual of ${\cal G}$. We show that some classes of these extensions can be constructed in a natural way using some linear bundles of Lie algebras.

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A. B. Yanovski. 2001-08-20. Lie algebra extensions related with linear bundles of Lie brackets. https://arxiv.org/abs/math/0108132

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