On the generating functions associated to a system of binary forms
A class of generating functions associated with a system of m-binary forms is derived as solutions of some explicit systems of inhomogeneous linear equations with coefficients in the field of rational functions in m variables. Thus by using this class of generating functions, the ring of invariants and some modules of covariants can be written as the quotient of the determinant of two explicit matrices. This has some implications for the Cohen-Macaulay type of modules of covariants over the ring of invariants.
scientific article; zbMATH DE number 4152613