Equivalence of group representations Unitary equivalence of representations Two representations Γ :𝐺 →𝑉 and ˜Γ :𝐺 →𝑊 are unitarily equivalent iff there exists a unitary matrix 𝑈 such that Γ(𝑔)=𝑈†˜Γ(𝑔)𝑈 for all 𝑔 ∈𝐺. Properties Equivalent unitary representations are unitarily equivalent #state/tidy | #lang/en | #SemBr