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On classification of Lie algebra realizations (1703.00808v1)
Published 2 Mar 2017 in math-ph, math.DG, math.MP, and math.RT
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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