Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2

Details Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2 Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2

2005-11-28

arxiv.org/abs/math/0511668v1

Mathematics

Rings and Algebras

23 pages

Scientific paper

First we describe the Skjelbred-Sund method for classifying nilpotent Lie algebras. Then we use it to classify 6-dimensional nilpotent Lie algebras over any field of characteristic not 2. The proof of this classification is essentially constructive: for a given 6-dimensional nilpotent Lie algebra L, following the steps of the proof, it is possible to find a Lie algebra M that occurs in the list, and an isomorphism L --> M.

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