Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms

Authors

Seyed Javad Akhtarshenas, Department of Physics, University of Isfahan, Isfahan, Iran\\ Quantum Optics Group, University of Isfahan, Isfahan, Iran\\ Department of Physics, Ferdowsi University of Mashhad, Mashhad, IranFollow

Author Country (or Countries)

Iran

Abstract

In this paper we provide an analytical procedure for explicit calculation of the left and right invariant vector fields and oneforms on SU(N) manifold. The calculations are based on the coset parametrization of SU(N) group. The results enable us to calculate the invariant measure or Haar measure on the group. As an illustrative example, we calculate invariant vector fields and one-forms on SU(2) group.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080627

Recommended Citation

Javad Akhtarshenas, Seyed (2014) "Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 27.
DOI: http://dx.doi.org/10.12785/amis/080627
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/27