Does anybody know the answer of the following problem?(adsbygoogle = window.adsbygoogle || []).push({});

Show that the Lie group of Euclidean motions of R^3 has a Lie algebra g which is perfect i.e., Dg=g but g is not semisimple.

By Dg I mean the commutator [g,g] and a semisimple lie algebra is one has no nonzero solvable ideals.

Regards

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# Question on Lie groups

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