Invariant of a binary form: Difference between revisions

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# The algebra of invariants is generated by invariants of degree 4, 8, 12, 18
# The algebra of invariants is generated by invariants of degree 2, 4, 6, 10, 15
#{{harvtxt|von Gall|1888}} {{harvtxt|Dixmier|Lazard|1986}} The algebra of invariants is generated by a set with 1 invariant of degree 4, 3 of degree 8, 6 of degree 12, 4 of degree 14, 2 of degree 16, 9 of degree 18, and one of each of the degrees 20, 22, 26, 30
#{{harvtxt|von Gall|1880}}, {{harvtxt|Shioda|1967}} The ringalgebra of invariants is generated by 9 invariants of degrees 2, 3, 4, 5, 6, 7, 8, 9, 10, and the ideal of relations between them is generated by elements of degrees 16, 17, 18, 19, 20.
#{{harvtxt|Brouwer|Popoviciu|2009}}
#{{harvtxt|Brouwer|Popoviciu|2010}} Generated by 106 invariants