Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
Rings and Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511668,
title = {Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2},
author = {W. A. de Graaf},
journal= {arXiv preprint arXiv:math/0511668},
year = {2007}
}
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23 pages