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Classification of solvable Lie algebras. (English) Zbl 1173.17300
Summary: In this paper we describe a simple method for obtaining a classification of small-dimensional solvable Lie algebras. Using this method, we obtain the classification of three- and four-dimensional solvable Lie algebras (over fields of any characteristic). Precise conditions for isomorphism are given.

MSC:
17B30 Solvable, nilpotent (super)algebras
17-08 Computational methods for problems pertaining to nonassociative rings and algebras
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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