Nilpotent Lie algebras not from strictly upper triangular matrices

lion8172 · Oct 8, 2007

I know that all Lie algebras comprised of strictly upper triangular matrices are nilpotent. It would seem that there are also nilpotent Lie algebras that are not comprised of strictly upper triangular matrices, but I can't think of any. Does anybody have any examples?

Hurkyl · Oct 9, 2007

You can apply a change of basis to a Lie algebra, can't you?

matt grime · Oct 9, 2007

And there are always abelian lie algebras.

Nilpotent Lie algebras not from strictly upper triangular matrices

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Nilpotent Lie algebras not from strictly upper triangular matrices

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