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...roup in 3 dimensions. Note that the map '''A''' → det('''A''') is a [[group homomorphism]]: the set of determinants forms a 1-dimensional [[irreducible representati

...to assure that this map of rotation matrices to rotation operators is a [[group homomorphism]]. Since this point was discussed at some length in [[Wigner]]'s famous boo Substitution of this rotation, use of [[group homomorphism]] and unitarity of ''D''-matrices,