Exterior and Tensor products for Euclidean space?

[natep7]

Does anyone know what the Euclidean Exterior product and the Euclidean Tensor products are defined as? Thanks.

[ajb]

The MathWorld entry on Vector Space Tensor Product will help you. From there you can symmetrise or antisymmetrise.

 

Everything here can be understood using category theory and as such this notion of tensor product generalises quite a lot. For instance you can take the tensor product of vector bundles. Anyway, read the MathWorld page and take it from there.

[DrRocket]

The MathWorld entry on Vector Space Tensor Product will help you. From there you can symmetrise or antisymmetrise.

 

Everything here can be understood using category theory and as such this notion of tensor product generalises quite a lot. For instance you can take the tensor product of vector bundles. Anyway, read the MathWorld page and take it from there.

 

For a very readable treatment of the simplest case in the simplest setting one can read Mike Spivak's Calculus on Manifolds.