dot: Class "dot"

In RobinHankin/weyl: The Weyl Algebra

Class “dot”

Description

The dot object is defined so that idiom like .[x,y] returns the commutator, that is, xy-yx.

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.

The borcherds vignette discusses this in a more general context.

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 <- rweyl(n=1,d=2)
y <- rweyl(n=1,d=2)
z <- rweyl(n=1,d=2)

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

RobinHankin/weyl documentation built on April 14, 2025, 11:49 a.m.