- #1
csopi
- 82
- 2
Hi,
I was given the following problem, and i couldn't solve it yet:
Give a bijection between the elements of SO(3) and the fractional linear transformations of the form
[tex]\varphi_{z,w}\,(u)=\frac{zu+w}{-\bar wu+\bar z}[/tex], where [tex]u\in \mathbb C\cup \{\infty\};\, z,w\in \mathbb C[/tex].
Any ideas would be highly appreciated.
I was given the following problem, and i couldn't solve it yet:
Give a bijection between the elements of SO(3) and the fractional linear transformations of the form
[tex]\varphi_{z,w}\,(u)=\frac{zu+w}{-\bar wu+\bar z}[/tex], where [tex]u\in \mathbb C\cup \{\infty\};\, z,w\in \mathbb C[/tex].
Any ideas would be highly appreciated.