idealFromCharacter -- Generate a lattice ideal from a character.

Usage:

idealFromCharacter (R, rho)
Inputs:
- R, a ring to contain the output ideal
- rho, a partialCharacter
Outputs:
- the lattice ideal corresponding to rho

Description

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing

i2 : I = ideal(x^3-1,y-x)

             3
o2 = ideal (x  - 1, - x + y)

o2 : Ideal of R

i3 : cv = isCellular (I,ReturnCellVars=>true)

o3 = {x, y}

o3 : List

i4 : pc = partialCharacter (I,CellVariables=>cv)

o4 = PartialCharacter{"c" => {1, 1}  }
                      "J" => {x, y}
                      "L" => | 1  0 |
                             | -1 3 |

o4 : PartialCharacter

i5 : idealFromCharacter (R,pc) == I

o5 = true

Caveat

The variables occurring in rho#"J" must be variables of R.

Ways to use idealFromCharacter:

idealFromCharacter(Ring,PartialCharacter)

For the programmer

The object idealFromCharacter is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Binomials.m2:1803:0.