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TitleClassification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
Author(s) Willem A.
TypeArticle in Journal
AbstractNilpotent 6-dimensional Lie algebras over any field of characteristic not 2 are classified. 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 classification, and an isomorphism L → M . In the proof a method due to Skjelbred and Sund is used, along with a method based on Gröbner bases to find isomorphisms.
KeywordsNilpotent Lie algebras, Classification, Central extensions, Isomorphism testing
ISSN0021-8693
URL http://www.sciencedirect.com/science/article/pii/S0021869306005254
LanguageEnglish
JournalJournal of Algebra
Volume309
Number2
Pages640 - 653
Year2007
NoteComputational Algebra
Edition0
Translation No
Refereed No
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