On Cohomology of Lie Algebra Bundles of Finite Type

Abstract

In this paper, we study radical bundle, nilradical bundle, annhilator and alternative bundle of a Lie algebra bundle of finite type. We generalise some results of vector bundles (more precisely, Lie algebra bundles) by weakening the condition of compactness using finite type. We prove Whitehead's Lemmas for semisimple Lie algebra bundles of finite type.