advanced_tools:hodge_dual
| Both sides previous revision Previous revision | |||
|
advanced_tools:hodge_dual [2023/03/19 21:35] edi [Concrete] |
advanced_tools:hodge_dual [2025/03/04 00:52] (current) edi [Concrete] |
||
|---|---|---|---|
| Line 19: | Line 19: | ||
| 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/blog/lie-groups-and-their-representations/#hodge_dual|Fun with Symmetry]]. | + | For a more detailed explanation of this picture see [[https://esackinger.wordpress.com/appendices/#exterior_and_clifford_products|Fun with Symmetry]]. |
| [{{ :advanced_tools:hodge_dual.jpg?nolink }}] | [{{ :advanced_tools:hodge_dual.jpg?nolink }}] | ||
advanced_tools/hodge_dual.1679258110.txt.gz ยท Last modified: 2023/03/19 21:35 by edi
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
