Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
By Willem A. de Graaf. 2005
227 citations recorded by the source corpus.
Abstract Nilpotent 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 Grobner bases to find isomorphisms.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9555e58f9590f62b76eb068722c1d1422b8c53ac
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- W. D. Graaf
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Citations in the corpus
- Six-dimensional nilpotent Lie algebras (2010, background): “The first part of this theorem concerning fields of characteristic different from 2 was already proved in the article [5] by the second author (see also [4] for more details).”