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Results tagged with lie-algebras
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user 25932
Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
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Nilpotent Lie Algebras
For generic $\xi$, the answer is yes.
Denote the lower central series as
$$ \mathfrak{g}_0 = \mathfrak{g} \supset \mathfrak{g}_1 = [\mathfrak{g},\mathfrak{g}_0] \supset \mathfrak{g}_2 = [\mathfrak{ …
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