Antisymmetric tensor part

Takes the antisymmetric tensor part of a tensor x with respect to the specified indices .... An error is thrown if the specified indices do not exist.

Usage

asym(x, ...)

Arguments

x

A labeled tensor object, created by %_% or tensor().

...

Any number of index expressions. The indices need to occur in x.

Value

A modified tensor object.

See also

Wikipedia: Ricci calculus - Symmetric and antisymmetric parts

Other tensor operations: Ops.tensor(), kron(), l(), r(), subst(), sym()

Examples

a <- array(1:4, dim = c(2, 2))
a %_% .(i, j) |> asym(i, j)
#> <Labeled Array> [2x2] .(-i, -j)
#>      [,1] [,2]
#> [1,]  0.0  0.5
#> [2,] -0.5  0.0