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

## Synopsis

• Usage:
partialCharacter I
• Inputs:
• I, a cellular binomial ideal
• Optional inputs:
• Outputs:

## 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 :

• "partialCharacter(Ideal)"

## For the programmer

The object partialCharacter is .