A Lie Algebra Approach Towards Classification of Complex Vector Bundles of Finite Rank on a Smooth Complex Manifold.

In this paper, we construct a correspondence between the complex vector bundles of finite rank on smooth manifolds and the representation of the generated vector space by a basis of the vector bundles and derive its non-triviality via the representation of the generated space. We also provide some applications of this correspondence. [ABSTRACT FROM AUTHOR]