- #1
arz2000
- 15
- 0
Does anybody know the answer of the following problem?
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
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