Verify that the representation (T) given by Eq. (2.9) obeys (Tleft(G_{i} ight) Tleft(G_{j} ight)=Tleft(G_{i} G_{j} ight)), so

Verify that the representation \(T\) given by Eq. (2.9) obeys \(T\left(G_{i}\right) T\left(G_{j}\right)=T\left(G_{i} G_{j}\right)\), so it preserves the group multiplication law for \(G\) and is a valid representation.

Data from Eq. (2.9)

Transcribed Image Text:

T(G)(r) (Gr). =