dot: Class "dot"

In clifford: Arbitrary Dimensional Clifford Algebras

Class “dot”

Description

The dot object is defined so that idiom like .[x,y] returns the commutator, that is, (x*y-y*x)/2. The factor of 2 ensures that .[x,y] == x %X% y.

The dot object is generated by running script inst/dot.Rmd, which includes some further discussion and technical documentation, and creates file dot.rda which resides in the data/ directory.

Arguments

x	Object of any class
i, j	elements to commute
...	Further arguments to dot_error(), currently ignored

Value

Always returns an object of the same class as xy.

Author(s)

Robin K. S. Hankin

Examples

x <- rcliff()
y <- rcliff()
z <- rcliff()

.[x,.[y,z]] + .[y,.[z,x]] + .[z,.[x,y]]  # Jacobi identity

clifford documentation built on June 8, 2025, 10:56 a.m.