partialCharacter -- Computing the partial character of a cellular binomial ideal
Synopsis
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- Usage:
partialCharacter I
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Inputs:
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I, a cellular binomial ideal
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Optional inputs:
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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
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i2 : I = ideal(x^3-1,y-x)
3
o2 = ideal (x - 1, - x + y)
o2 : Ideal of R
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i3 : cv = isCellular (I,ReturnCellVars=>true)
o3 = {x, y}
o3 : List
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i4 : pc = partialCharacter (I,CellVariables=>cv)
o4 = PartialCharacter{"c" => {1, 1} }
"J" => {x, y}
"L" => | 1 0 |
| -1 3 |
o4 : PartialCharacter
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Caveat
If the input is not cellular the behaviour is undefined. Cellularity is not checked.
Ways to use partialCharacter :