Invariant of a binary form: Difference between revisions

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There are 23 basic invariants (essentially the basic covariants of a quintic) and 94 basic covariants.
 
===Covariants of a linear form and a quantic===
 
===Covariants of several linear forms===
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There are 3 basic invariants and 6 basic covariants.
 
===Covariants of two quadratics and a linear form===
 
===Covariants of several linear and quadratic forms===
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There are 8 basic invariants (3 of degree 2, 4 of degree 3, and 1 of degree 4) and 28 basic covariants. (Gordan gave 30 covariants, but Sylvester showed that two of these are reducible.)
 
===Covariants of many cubics or quartics===
 
The numbers of generators of invariants or covariants were given bySee {{harvtxt|Young|1898}}.
 
==See also==