Is this true that $$ \frac{SU(N)}{SU(N-1) \times U(1)} = CP^{N-1} $$ Can we show or explain this more precisely?
The $CP^n$ is the complex projective space here.
Is this true that $$ \frac{SU(N)}{SU(N-1) \times U(1)} = CP^{N-1} $$ Can we show or explain this more precisely?
The $CP^n$ is the complex projective space here.
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