dim(GroupAction) -- dimension of the polynomial ring being acted upon

Synopsis

• Function: dim

• Usage:

  dim G

• Inputs:
  • G, an instance of the type GroupAction, a group action on a polynomial ring
• Outputs:
  • an integer, the dimension of the polynomial ring being acted upon

Description

This function is provided by the package InvariantRing.

i1 : R = QQ[x_1..x_4]

o1 = R

o1 : PolynomialRing

i2 : T = diagonalAction(matrix {{0,1,-1,1},{1,0,-1,-1}}, R)

             * 2
o2 = R <- (QQ )  via 

     | 0 1 -1 1  |
     | 1 0 -1 -1 |

o2 : DiagonalAction

i3 : dim T == dim R

o3 = true