Graph theory and classical invariant theory

Peter J. Olver, Chehrzad Shakiban

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


This paper presents a simple graphical method, closely related to the "algebrochemical method" of Clifford and Sylvester, for computations in the classical invariant theory of binary forms. Applications to syzygies and transvectants of covariants, and the determination of a Hilbert basis of covariants using Gordan's method are presented.

Original languageEnglish (US)
Pages (from-to)212-245
Number of pages34
JournalAdvances in Mathematics
Issue number2
StatePublished - Jun 1989

Bibliographical note

Funding Information:
in Part by NSF Grant DMS 86-02004. in Part by College of St. Thomas Faculty


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