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advanced_tools:group_theory:sp_1 [2020/12/12 23:37]
edi created
advanced_tools:group_theory:sp_1 [2023/04/17 03:31] (current)
edi [Concrete]
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 **Representations** **Representations**
  
-The diagram below shows the defining representation of $Sp(1)$ in its upper branch and the (3-dimensional) adjoint ​ representation of the same group in the lower branch. The latter representation can be used to rotate objects in 3D space and has applications in computer graphics. For a more detailed explanation of this diagram and representations of other Lie groups see [[https://​esackinger.wordpress.com/​|Fun with Symmetry]].+The diagram below shows the defining representation of $Sp(1)$ in its upper branch and the (3-dimensional) adjoint ​ representation of the same group in the lower branch. The latter representation can be used to rotate objects in 3D space and has applications in computer graphics. For a more detailed explanation of this diagram and representations of other Lie groups see [[https://​esackinger.wordpress.com/​blog/​lie-groups-and-their-representations/#​sp1_quaternion|Fun with Symmetry]].
  
 [{{ :​advanced_tools:​group_theory:​representation_theory:​sp1_quaternions.jpg?​nolink }}] [{{ :​advanced_tools:​group_theory:​representation_theory:​sp1_quaternions.jpg?​nolink }}]
advanced_tools/group_theory/sp_1.txt ยท Last modified: 2023/04/17 03:31 by edi