It should be clear now, then, why I called the derivative operator the "generator of the translation group" in my previous tweet.pic.twitter.com/ZJETgoHSKU
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If M is an arbitrary group element, and we can write it as the exponential of the sum over matrices { Lₐ }, we say that the Lₐ are the 𝒈𝒆𝒏𝒆𝒓𝒂𝒕𝒐𝒓𝒔 of G. If G is a Lie Group then we say that the { Lₐ } form a 𝑳𝒊𝒆 𝑨𝒍𝒈𝒆𝒃𝒓𝒂.pic.twitter.com/c7jZ6ZdXsF
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