advanced_tools:hodge_dual
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advanced_tools:hodge_dual [2023/03/12 17:07] edi [Concrete] |
advanced_tools:hodge_dual [2023/03/19 21:35] (current) edi [Concrete] |
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| This pattern suggests a relationship between antisymmetric rank-$p$ tensors and and antisymmetric rank-($4-p$) tensors in 4D space. This is the idea behind the Hodge dual! The diagram below shows this pattern for 2, 3, and 4-dimensional spaces. | This pattern suggests a relationship between antisymmetric rank-$p$ tensors and and antisymmetric rank-($4-p$) tensors in 4D space. This is the idea behind the Hodge dual! The diagram below shows this pattern for 2, 3, and 4-dimensional spaces. | ||
| - | For a more detailed explanation of this picture see [[https://esackinger.wordpress.com/|Fun with Symmetry]]. | + | For a more detailed explanation of this picture see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#hodge_dual|Fun with Symmetry]]. |
| [{{ :advanced_tools:hodge_dual.jpg?nolink }}] | [{{ :advanced_tools:hodge_dual.jpg?nolink }}] | ||
advanced_tools/hodge_dual.txt ยท Last modified: 2023/03/19 21:35 by edi
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