On Characteristic Ideal Bundles of a Lie Algebra Bundle

Document Type : Research Paper


Department of Mathematics, School of Applied Sciences REVA University, Bengaluru-560064, India



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.