%0 Journal Article
%T Sylvester versus Gundelfinger
%A Andries E. Brouwer
%A Mihaela Popoviciu
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X Let $V_n$ be the ${ m SL}_2$-module of binary forms of degree $n$and let $V = V_1 oplus V_3 oplus V_4$. We show that the minimum number of generators of the algebra $R = mathbb{C}[V]^{{ m SL}_2}$ of polynomial functions on $V$ invariant under the action of ${ m SL}_2$ equals 63. This settles a 143-year old question.
%K invariants
%K covariants
%K binary forms
%U http://dx.doi.org/10.3842/SIGMA.2012.075