clifford (version 1.0-2)

dual: The dual of a clifford object

Description

The dual of a clifford object \(C\), written \(C^*\)

Usage

dual(C, n)

Arguments

C

Clifford object

n

Dimensionality of underlying vector space

Details

The dual of clifford object \(C\) is \(CI^{-1}\) where \(I\) is the pseudoscalar.

The dual is sensitive to the signature. Note that applying the dual operation four times successively will return

References

C. Perwass. “Geometric algebra with applications in engineering”. Springer, 2009.

See Also

pseudoscalar

Examples

# NOT RUN {
a <- rcliff()
dual(dual(dual(dual(a,8),8),8),8) == a # should be TRUE
# }