Spivak defines the wedge product on page 79 to take alternating linear forms, but the package allows the user to calculate the wedge product of two (non-alternating) tensors:
> as.ktensor(1:3) %^% as.ktensor(1:3)
A linear map from V^6 to R with V=R^3:
val
1 2 3 1 2 3 = 1
>
The problem is that the returned wedge product is not alternating.
Spivak defines the wedge product on page 79 to take alternating linear forms, but the package allows the user to calculate the wedge product of two (non-alternating) tensors:
The problem is that the returned wedge product is not alternating.