Graph theory and classical invariant theory

Peter J. Olver; Chehrzad Shakiban

doi:10.1016/0001-8708(89)90038-8

Graph theory and classical invariant theory

Peter J. Olver, Chehrzad Shakiban

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	212-245
Number of pages	34
Journal	Advances in Mathematics
Volume	75
Issue number	2
DOIs	https://doi.org/10.1016/0001-8708(89)90038-8
State	Published - Jun 1989

Bibliographical note

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

Access

10.1016/0001-8708(89)90038-8

OpenUrl availability

Full text

Cite this

@article{9c9c66567c3145748caf0e3ae7518b8a,

title = "Graph theory and classical invariant theory",

abstract = "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.",

author = "Olver, {Peter J.} and Chehrzad Shakiban",

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

year = "1989",

month = jun,

doi = "10.1016/0001-8708(89)90038-8",

language = "English (US)",

volume = "75",

pages = "212--245",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Graph theory and classical invariant theory

AU - Olver, Peter J.

AU - Shakiban, Chehrzad

N1 - Funding Information: in Part by NSF Grant DMS 86-02004. in Part by College of St. Thomas Faculty

PY - 1989/6

Y1 - 1989/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33747820575&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747820575&partnerID=8YFLogxK

U2 - 10.1016/0001-8708(89)90038-8

DO - 10.1016/0001-8708(89)90038-8

M3 - Article

AN - SCOPUS:33747820575

SN - 0001-8708

VL - 75

SP - 212

EP - 245

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

Graph theory and classical invariant theory

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this