Differential geometry on SU(N): Left and right invariant vector fields and one-forms
Mathematical Physics
2010-03-16 v1 math.MP
Abstract
In this paper we provide an analytical procedure for explicit calculation of the left and right invariant vector fields and one-forms 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.
Keywords
Cite
@article{arxiv.1003.2708,
title = {Differential geometry on SU(N): Left and right invariant vector fields and one-forms},
author = {S. J. Akhtarshenas},
journal= {arXiv preprint arXiv:1003.2708},
year = {2010}
}
Comments
11 pages, submitted