Linear and multilinear algebra; matrix theory Multilinear algebra Concept
Tensor product of vector spaces
Summary
The tensor product of two vector spaces is a vector space spanned by symbols . These symbols are bilinear in and , and no other relations hold.
Where this leads
18 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Tensor_product, As a quotient space
About this page
| Tag | 0BF2DE2SYK |
|---|---|
| URI | m2://0BF2DE2SYK |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A69 |
| Specializes | Vector space |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Definitions
Used by
- Sweedler notation
- Bialgebra
- Quasitriangular Hopf algebra
- Tensor product of Hilbert spaces
- Rough path
- 6-j symbol
- 3-j symbol
- Tensor field
- Yang–Baxter equation
- Projective tensor product
- Spencer cohomology
- Comodule
- Coalgebra
- Injective tensor product
- Tensor rank
- Tensor algebra
- Borsuk's conjecture
- Tensor decomposition