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arXiv 2001-08-20 0 views

Lie algebra extensions related with linear bundles of Lie brackets

Yanovski, A. B.

Original · EN

We consider some special type extensions of an arbitrary Lie algebra G, arising in the theory of Lie-Poisson structures over (G*)ⁿ, where G* is the dual of 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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