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Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms |
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PP: 2903-2908 |
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Author(s) |
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Seyed Javad Akhtarshenas,
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Abstract |
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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. |
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