ApCoCoA-1:BB.GenHomMultMat

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BB.GenHomMultMat

Computes a generic homogeneous multiplication matrix.

Syntax

BB.GenHomMultMat(I:INT,OO:LIST):MAT

Description

Computes the generic homogeneous multiplication matrix for x[I] with respect to an order ideal. The inputs are an integer I and a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is a matrix of size Len(OO) x Len(OO) over the ring BBS=K[c_{ij}].

  • @param I An integer which specifies the indeterminate for which the generic homogeneous multiplication matrix will be computed.

  • @param OO A list of terms representing an order ideal.

  • @return The generic homogeneous multiplication matrix.