Difference between revisions of "ApCoCoA-1:BBSGen.NonStand"
From ApCoCoAWiki
| Line 23: | Line 23: | ||
BO:=BB.Border(OO); | BO:=BB.Border(OO); | ||
N:=Len(Indets()); | N:=Len(Indets()); | ||
| − | + | W:=BBSGen.Wmat(OO,BO,N); | |
XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; | XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; | ||
| Line 33: | Line 33: | ||
[[c[1,3], [R :: 1, R :: 2]], | [[c[1,3], [R :: 1, R :: 2]], | ||
[c[1,4], [R :: 2, R :: 1]], | [c[1,4], [R :: 2, R :: 1]], | ||
| − | + | [c[2,3], [R :: 1, R :: 1]], | |
[c[3,4], [R :: 1, R :: 1]]] | [c[3,4], [R :: 1, R :: 1]]] | ||
Revision as of 22:47, 14 June 2012
BBSGen.Wmat
This function computes the non-standard indeterminates from K[c] with respect to the arrow grading.
Syntax
BBSGen.NonStand(OO,BO,N,W); BBSGen.NonStand(OO:LIST,BO:LIST,N:INTEGER,W:MATRIX):LIST
Description
Let W be the weight matrix with respect to the arrow grading.(see BBSGen.Wmat)
An indeterminate c_ij\in K[c] is called standard, if deg_W(c_ij)=log(b_j)-log(t_i) has exactly one strictly positive component. If c_ij is not standard then it is called non-standard. This function computes such non-standard indeterminates from ring K[c].
@param The order ideal OO, the border BO the number of Indeterminates of the Polynomial Ring and the Weight Matrix. (see <commandref>BB.Border</commandref> from the package borderbasis)
@return List of Indeterminates and their degree with respect to the arrow grading.
Example
Use R::=QQ[x[1..2]]; OO:=BB.Box([1,1]); BO:=BB.Border(OO); N:=Len(Indets()); W:=BBSGen.Wmat(OO,BO,N); XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; Use XX; BBSGen.NonStand(OO,BO,N,W); [[c[1,3], [R :: 1, R :: 2]], [c[1,4], [R :: 2, R :: 1]], [c[2,3], [R :: 1, R :: 1]], [c[3,4], [R :: 1, R :: 1]]]
