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    STUDIA MATHEMATICA - Issue no. 1 / 2015  
         
  Article:   RODRIGUES FORMULA FOR THE CAYLEY TRANSFORM OF GROUPS SO(n) AND SE(n).

Authors:  DORIN ANDRICA.
 
       
         
  Abstract:  In Theorem 3.1 we present, in the case when the eigenvalues of the matrix are pairwise distinct, a direct way to determine the Rodrigues coefficients of the Cayley transform for the special orthogonal SO(n) by reducing the Ro- drigues problem in this case to the system (3.2). The similar method is discussed for the Euclidean group SE(n).
Mathematics Subject Classification (2010): 22E60, 22E70.
Keywords: Lie group, Lie algebra, exponential map, Cayley transform, special orthogonal group SO(n), Euclidean group SE(n), Rodrigues coefficients.
 
         
     
         
         
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