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''[https://youtu.be/Z7rd04KzLcg?t=5232 01:27:12]''<br> | ''[https://youtu.be/Z7rd04KzLcg?t=5232 01:27:12]''<br> | ||
So we're going to call this the '''inhomogeneous gauge group''', or '''iggy'''. And this is going to be a really interesting space, because it has a couple of properties. One is it has a very interesting subgroup. Now, of course, \(H\) includes into \(G\) by just including onto the first factor, but in fact, there's a more interesting homomorphism brought to you by the Levi-Civita connection. So, this magic bean trade is going to start to enter more and more into our consciousness. | So we're going to call this the '''inhomogeneous gauge group''', or '''iggy'''. And this is going to be a really interesting space, because it has a couple of properties. One is it has a very interesting subgroup. Now, of course, \(\mathcal{H}\) includes into \(\mathcal{G}\) by just including onto the first factor, but in fact, there's a more interesting homomorphism brought to you by the Levi-Civita connection. So, this magic bean trade is going to start to enter more and more into our consciousness. | ||