Hi,(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Möbius transformations and SO(3)

**Physics Forums | Science Articles, Homework Help, Discussion**