Examples
- Every subalgebra and quotient of a nilpotent Lie algebra is nilpotent.
- If is the set of matrices, then the subalgebra consisting of strictly upper triangular matrices, denoted by, is a nilpotent Lie algebra.
- A Heisenberg algebra is nilpotent.
- A Cartan subalgebra of a Lie algebra is nilpotent and self-normalizing.
Read more about this topic: Nilpotent Lie Algebra
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