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arxiv: math/0404071 · v1 · submitted 2004-04-05 · 🧮 math.RA

Classification of solvable Lie algebras

classification 🧮 math.RA
keywords algebrasclassificationsolvablecharacteristicconditionsdimensionalfieldsgiven
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We illustrate some simple ideas that can be used for obtaining a classification of small-dimensional solvable Lie algebras.Using these we obtain the classification of 3 and 4 dimensional solvable Lie algebras (over fields of any characteristic). Precise conditions for isomorphism are given.

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