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Chivul
  • Member for 4 years, 9 months
  • Last seen more than 1 year ago
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Representation of Lie algebra $\operatorname{SE}(2)$
Can you explain more about the map $R:\operatorname{SE}(2)\rightarrow \operatorname{Diff}(\mathbb{R}^2)$? I have not yet caught up with the idea.
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Representation of Lie algebra $\operatorname{SE}(2)$
@BenMcKay: ah, I'm sorry. I will edit it. Thank you.
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Representation of Lie algebra $\operatorname{SE}(2)$
Thank you all. I have already answered my question myself in a way a little different from Chik67's below.
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Representation of Lie algebra $\operatorname{SE}(2)$
@BenMcKay: The action $R$ is given by $\mathcal{A}$ included in my question.
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Representation of Lie algebra $\operatorname{SE}(2)$
Thank you @DeaneYang. For the purpose of the article, the author wants to use differentiation. Unfortunately, this is the first time I've seen this representation.
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Representation of Lie algebra $\operatorname{SE}(2)$
Thank you for your help, @LSpice <3
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Representation of Lie algebra $\operatorname{SE}(2)$
Thank you. $R_{\left(\gamma,\theta\right)}$ is an action of $SE\left(2\right)$ with the translation $\gamma$ and the rotation $\theta$.
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