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Main Question or Discussion Point
I am trying to improve my understanding of Lie groups and the operations of left multiplication and pushforward.
I have been looking at these notes:
https://math.stackexchange.com/questions/2527648/leftinvariantvectorfieldsexample
https://math.stackexchange.com/questions/1136592/howtocalculateavectorinaleftinvariantvectorfield
https://math.stackexchange.com/questions/1764479/leftinvariantvectorfieldonso3
I have worked out the following for SO(3).
Is this correct? I am not sure about the appearance of the sin and cos after the matrix multiplication.
I have been looking at these notes:
https://math.stackexchange.com/questions/2527648/leftinvariantvectorfieldsexample
https://math.stackexchange.com/questions/1136592/howtocalculateavectorinaleftinvariantvectorfield
https://math.stackexchange.com/questions/1764479/leftinvariantvectorfieldonso3
I have worked out the following for SO(3).
Is this correct? I am not sure about the appearance of the sin and cos after the matrix multiplication.
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