The algebra and weyl objects

Basic functions for weyl objects

Usage

weyl(M)
is.weyl(M)
as.weyl(val,d)
is.ok.weyl(M)

Arguments

M

A weyl or spray object

val,d

Value and dimension for weyl object

Details

To create a weyl object, pass a spray to function weyl(), as in weyl(M). To create a spray object to pass to weyl(), use function spray(), which is a synonym for spray::spray().

Function weyl() is the formal creator method; is.weyl() tests for weyl objects and is.ok.weyl() checks for well-formed sprays. Function as.weyl() tries (but not very hard) to infer what the user intended and return the right thing.

Value

Return a weyl or a Boolean

Author

Robin K. S. Hankin

Examples

(W <- spray(matrix(1:36,6,6),1:6))
#>   x  y  z dx dy dz     val
#>   6 12 18 24 30 36  =    6
#>   3  9 15 21 27 33  =    3
#>   5 11 17 23 29 35  =    5
#>   4 10 16 22 28 34  =    4
#>   2  8 14 20 26 32  =    2
#>   1  7 13 19 25 31  =    1
weyl(W)
#> A member of the Weyl algebra:
#>   x  y  z dx dy dz     val
#>   6 12 18 24 30 36  =    6
#>   3  9 15 21 27 33  =    3
#>   5 11 17 23 29 35  =    5
#>   4 10 16 22 28 34  =    4
#>   2  8 14 20 26 32  =    2
#>   1  7 13 19 25 31  =    1

as.weyl(15,d=3)
#> A member of the Weyl algebra:
#>   x  y  z dx dy dz     val
#>   0  0  0  0  0  0  =   15

is.ok.weyl(spray(matrix(1:30,5,6)))
#> [1] TRUE
is.ok.weyl(spray(matrix(1:30,6,5)))
#> [1] "arity must be even"