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 algebraM 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.

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

De Graaf, Willem Adriaan
2007-01-01

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 algebraM 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.
2007
2
De Graaf, Willem Adriaan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/69807
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