Title of article :
A Lie Algebra Approach Towards Classification of Complex Vector Bundles of Finite Rank on a Smooth Complex Manifold
Author/Authors :
Kheiri ، Hossein Department of Mathematical sciences - Faculty of Science - Isfahan University of Technology , Etemad ، Azam Department of Mathematical sciences - Faculty of Science - Isfahan University of Technology , Rahmati ، Farhad Department of Mathematical sciences - Faculty of Science - Amirkabir University of Technology
Abstract :
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
Keywords :
Representation theory , Vector bundle
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
