advanced_tools:group_theory:so3
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advanced_tools:group_theory:so3 [2020/11/28 18:16] edi [Concrete] |
advanced_tools:group_theory:so3 [2020/11/29 17:17] edi [Intuitive] |
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| + | The Lie group $SO(3)$ describes all possible rotations in 3-dimensional Euclidean space. It thus describes an important symmetry of the physical space we live in. (Other symmetries of our space are translations and boosts.) | ||
| - | <note tip> | + | $SO(3)$ is closely related to the groups $SU(2)$ and $Sp(1)$. They are all locally isomorphic, that is, they have the same Lie algebra. |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | |
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| <tabbox Concrete> | <tabbox Concrete> | ||
advanced_tools/group_theory/so3.txt · Last modified: 2023/04/17 03:28 by edi
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