Poincare Transformation: Understanding its Properties and Group Structure

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Saeide
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Dear all,

Poincare transformation construct a group, better to say noncompact Lie group. I want to prove this fact but I don't know how...; I mean the general characteristics- associativity, closure, identity element and inversion element.
I would appreciate it if anyone could help me or guide me to references in this topic.
So thanks in advance,


Saeede
 
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What about - as a first step - a proof of the Poincare Algebra?
 
Well I found how to prove it; That was so simpler than what I really thought! By the way I'm so thankful for your attention Tom. I will go for the Poincare algebra as the next step!