Geometric Algebra and Tensors

Channel: sudgylacmoe Published: 2023-09-17 129 words Source: auto_caption
Advanced Mathematics & Geometric Physics

Transcript

what's the relationship between geometric algebra and tensors I've been asked this question many times so I thought I would address it here my answer is that they're not really related at least on a fundamental level while geometric algebra can make the study of tensor simpler by removing the need for fiddling with components in many situations this is just a particular application of geometric algebra and not any fundamental relationship also while it is technically possible to construct a geometric algebra from the tensor algebra this is only one of many constructions and I personally favor other constructions over this one so again I would say that this is not a fundamental relationship so in the end there is no fundamental relationship between geometric algebra and tensors