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Conjugating representations and related results on semi-simple Lie groups

Conjugating representations and related results on semi-simple Lie groups

Introduction.In applying symmetry considerations to quantum mechanics, one is often forced to consider representations T of a symmetry group G by means of Hubert space operators which may be either unitary or conjugate-unitary.Indeed, in some situations there is a well-determined subgroup N of G (necessarily normal and of index 2 …