What is the tensor product, anyway?

The tensor algebra, the exterior algebra, and the symmetric algebra: three tools that convert multilinear maps into linear maps.

Here are some nice lecture notes that cover this material (with proofs and exercises!):
https://www.cis.upenn.edu/~cis610/diffgeom7.pdf

There are also some practice problems at the end of this video. Let me know your proofs in the comments below! As always, thanks for watching.

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Music: “Seclusion” by The Tides (from the YouTube Audio Library)

Видео What is the tensor product, anyway? канала Aleph 0