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Feb 1, 2017 at 23:07 comment added ಠ_ಠ Thanks for the clarification! It all makes sense now. It's interesting that we actually get the right (rather than left) Maurer-Cartan form in the end.
Feb 1, 2017 at 20:35 vote accept ಠ_ಠ
Feb 1, 2017 at 15:13 comment added Tobias Diez Sorry, I was a bit in a hurry. I just updated my answer. Let me know if there is still something that is not clear.
Feb 1, 2017 at 15:12 history edited Tobias Diez CC BY-SA 3.0
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Feb 1, 2017 at 13:04 comment added Vít Tuček Where did $\gamma(t)$ disappear?
Feb 1, 2017 at 12:57 comment added ಠ_ಠ Thanks! I am just confused about what $\gamma(t).\dot{g}(t)$ means? Since $\dot{g}(t) \in T_{g(t)}G$, how is it acting on $\gamma(t) \in P$?
Feb 1, 2017 at 12:26 history answered Tobias Diez CC BY-SA 3.0