https://haifei.pro/tags/%E5%A4%96%E4%BB%A3%E6%95%B0/Recent content in 外代数 on Haifei's HomeHugozh-CNhfwang132@gmail.com (hfwang132)hfwang132@gmail.com (hfwang132)This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.Fri, 26 May 2023 18:11:03 +0800https://haifei.pro/post_20230526_%E8%B5%9D%E7%9F%A2%E9%87%8F%E5%88%B0%E5%BA%95%E6%98%AF%E4%BB%80%E4%B9%88/Fri, 26 May 2023 18:11:03 +0800hfwang132@gmail.com (hfwang132)https://haifei.pro/post_20230526_%E8%B5%9D%E7%9F%A2%E9%87%8F%E5%88%B0%E5%BA%95%E6%98%AF%E4%BB%80%E4%B9%88/<p>我们在物理书中经常看到所谓“赝矢量”（pseudo-vector）和“赝标量”（pseudo-scalar）的说法。</p> <p>其实，在 3 维流形上，“赝矢量”是两个切矢量的外积 \(v\in T_pM\wedge T_pM=\bigwedge^2(T_pM)\) ，“赝标量”是三个切矢量的外积 \(s\in T_pM\wedge T_pM\wedge T_pM=\bigwedge^3(T_pM)\) 。</p>