Polynomial Realizations of Finite-Dimensional Lie Algebras

被引：0
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作者：
V. V. Gorbatsevich
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来源：
Functional Analysis and Its Applications | 2020年 / 54卷
关键词：
Lie algebra; realization of Lie algebra; polynomial Lie algebra; Mal’tsev splitting;
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摘要：
It is proved that any finite-dimensional Lie algebra over an algebraically closed field K of characteristic 0 can be embedded (realized) as a transitive Lie subalgebra of the Lie algebra of polynomial vector fields on the space Kn. The same is also proved for arbitrary real Lie algebras and in some other cases.
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页码：93 / 99
页数：6
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