On the Killing splitting of some algebras

Question

It is well-known that the algebra $ so(4,1) $ admits the Killing splitting as vector spaces as follows: $ so(4,1)=so(3,1) \oplus \mathbb{R}^{3,1} $. In the same context, is there a Killing splitting of the algebra $ gl(5,\mathbb{R}) $ of the group $ GL(5,\mathbb{R}) $?