nLab
semidirect product Lie algebra
Contents
Contents
Idea
Given by a Lie action of a Lie algebra on another Lie algebra , hence a Lie algebra homomorphism
to the derivations on , then there is a Lie algebra extension of by whose underlying vector space is
and whose Lie bracket is given by the formula
This is the semidirect product of with .
References
Created on August 27, 2015 at 08:30:17.
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