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Open System – Ark's blog
Daily Archives: 2017/05/23
Killing vectors, geodesics, and Noether’s theorem
Consider Lie groups of matrices: SO(3) or SO(2,1). Their double covering groups are SU(2) and SU(1,1) (or, after Cayley transform, SL(2,R)). We prefer to use these covering groups as they have simpler topologies. SU(2) is topologically a three-sphere, SL(2,R) is … Continue reading
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