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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 08 > No. 6

 
   

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

PP: 2903-2908
Author(s)
Seyed Javad Akhtarshenas,
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.

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