Classification of approximate Lie algebras with three essential vectors
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 3-17

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We propose an algorithm for classifying approximate Lie algebras whose bases are defined by essential vectors. We give a classification of Lie algebras with three essential vectors.
Keywords: Lie algebra, isomorphism of Lie algebras, transformations of basic vectors, essential vectors.
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     author = {R. K. Gazizov and V. O. Lukashchuk},
     title = {Classification of approximate {Lie} algebras with three essential vectors},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--17},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a0/}
}
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R. K. Gazizov; V. O. Lukashchuk. Classification of approximate Lie algebras with three essential vectors. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 3-17. http://geodesic.mathdoc.fr/item/IVM_2010_10_a0/