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arXiv · 1703.00808

On classification of Lie algebra realizations

Daniel Gromada·Severin Pošta
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Abstract

We study realizations of Lie algebras by vector fields. A correspondence between classification of transitive local realizations and classification of subalgebras is generalized to the case of regular local realizations. A reasonable classification problem for general realizations is rigorously formulated and an algorithm for construction of such classification is presented.

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Daniel Gromada, Severin Pošta. 2017-03-02. On classification of Lie algebra realizations. https://arxiv.org/abs/1703.00808

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