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math214:03-04 [2020/03/04 10:55] pzhou |
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* The circle group $S^1 \subset \C^*$. | * The circle group $S^1 \subset \C^*$. | ||
* The n-dimensional torus $\T^n = (\S^1)^n$. | * The n-dimensional torus $\T^n = (\S^1)^n$. | ||
- | * Important subgroups of $GL(n, \R)$ and $GL(n, \C)$ | + | * Important subgroups of $GL(n, \R)$ and $GL(n, \C)$ (later when we know how to produce subgroups) |
* special orthogonal group $SO(n, \R)$, | * special orthogonal group $SO(n, \R)$, | ||
* Lorentz group $SO(1,3)$ , | * Lorentz group $SO(1,3)$ , |