On the generating functions associated to a system of binary forms
type: Item
instance of: scholarly article
title: On the generating functions associated to a system of binary forms
zbMATH Open document ID: 0703.15031
DOI: 10.1016/0019-3577(90)90029-M
published in: Indagationes Mathematicae. New Series
publication date: 1990-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 4152613
zbMATH Keywords: generating functions
zbMATH Keywords: binary forms
zbMATH Keywords: ring of invariants
zbMATH Keywords: modules of covariants
zbMATH Keywords: Cohen-Macaulay type
author: Abraham Broer
MaRDI profile type: Publication
cites work: Some formulas in invariant theory
cites work: Trace Rings of Generic Matrices are Cohen-Macaulay
cites work: Invariants de plusieurs formes binaires
cites work: Q3207220
cites work: Q3699824
cites work: Invariant theory
cites work: Q3895710
cites work: Q4198950
description: scientific article; zbMATH DE number 4152613