Differential geometry on SU(N): Left and right invariant vector fields and one-forms

Details Differential geometry on SU(N): Left and right invariant vector fields and one-forms Differential geometry on SU(N): Left and right invariant vector fields and one-forms

2010-03-13

arxiv.org/abs/1003.2708v1

Physics

Mathematical Physics

11 pages, submitted

Scientific paper

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.

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