Consider the isometries F and G of the 2D half-space model H2, F(2) = z+a and...

 

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Consider the isometries F and G of the 2D half-space model H2, F(2) = z+a and G(z) = e'z, where z=x+iy and a and t are real. Find the corresponding Lorentz transformations f and g which satisfy F= TfT and G = Consider the isometries F and G of the 2D half-space model H2, F(2) = z+a and G(z) = e'z, where z=x+iy and a and t are real. Find the corresponding Lorentz transformations f and g which satisfy F= TfT and G =