The special symplectic structure of binary cubics

Letk be a field of characteristic not 2 or3. LetV be thek-space of binary cubic polynomials. The natural symplectic structure on k promotes to a symplectic structure ω onV and from the natural symplectic action of Sl (2, k) one obtains the symplectic module(V, ω). We give a complete analysis of this symplectic module from t he point of view of the… CONTINUE READING