On Characteristic Ideal Bundles of a Lie Algebra Bundle

We show that, every derivation of a Lie algebra bundle can be viewed as an inner derivation if one embeds the Lie algebra bundle into a larger Lie algebra bundle. We define, the radical and the nilradical bundle of a Lie algebra bundle and prove, both are characteristic ideal bundles of Lie algebra bundle.

Keywords:

Characteristic ideal bundle , Lie algebra bundle , Radical bundle , Vector bundle