unitary_group

introduction

%%visits: 2 ## intuition The [[determinant]] of the unitary_group is e^iθ

Consider the [[homomorphism]] ϕ : U₁ → U₁ : ϕ(e^iθ) = e^i(nθ) The kernel of this is ℤ_n aka the roots of unity.

rigour

U(N) = {A ∈ GL(N, ℂ)|A^† = A⁻¹} ## exam clinic ## examples and non-examples ## resources tags :math:

backlinks

• index_of_files.pd