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The SU(2) and SO(3) groups are homomorphic groups. Can we say that the SU(2) group is representation of SO(3) and vice versa (SU(2) representation of SO(3))?
Is a representation R of some group G a group too? If so, is it true that G is representation of R?
Is a representation R of some group G a group too? If so, is it true that G is representation of R?