The Stanley decomposition of the joint covariants of three quadratics is computed using a new transvectant algorithm and computer algebra. This is sufficient to compute the general form of the normal form with respect to a nilpotent with three 3-dimensional irreducible blocks.
Keywords:
joint covariant, quadratic, nilpotent normal form
Citation:
Sanders . A., Stanley Decomposition of the Joint Covariants of Three Quadratics, Regular and Chaotic Dynamics,
2007, Volume 12, Number 6,
pp. 732-735