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Invariant theory deals with an algebraic, geometric or analytic structure $X$, submitted to the action of an (algebraic) group $G$. It studies $G$-invariant elements of $X$ as well as the set of $G$-orbits.

2 votes

Irreducible binary quartic form with prescribed $I$ and $J$-invariants

Here are constructions using Eisenstein's criterion to get an irreducible $F$ with given invariant $I$ (some restrictions apply). The congruence conditions given in Bhargava & Shankar are: $I \equi …
Zack Wolske's user avatar
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