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Binomials :: partialCharacter

partialCharacter -- Computing the partial character of a cellular binomial ideal

Synopsis

Description

If the cell variables are known, they can be given via the option CellVariables otherwise they are computed.
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

Caveat

If the input is not cellular the behaviour is undefined. Cellularity is not checked.

Ways to use partialCharacter :

For the programmer

The object partialCharacter is a method function with options.