Nilpotent Lie algebra
id:
nilpotent-lie-algebra-254-10019993
title:
Nilpotent Lie algebra
text:
In mathematics, a Lie algebra g is nilpotent if its lower central series terminates in the zero subalgebra. The lower central series is the sequence of subalgebras We write g 0 = g , and g n = [ g , g n − 1 ] for all n > 0 . If the lower central series eventually arrives at the zero subalgebra, then the Lie algebra is called nilpotent. The lower central series for Lie algebras is analogous to the lower central series in group theory, and nilpotent Lie algebras are analogs of nilpotent groups. Th
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https://en.wikipedia.org/wiki/Nilpotent_Lie_algebra
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date modified:
2024-02-14T16:22:46Z
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