%0 Journal Article
%T Codes, Horn's problem and Gromov-Witten invariants
%A Alberto Besana
%A Cristina Martinez
%J Mathematics
%D 2013
%I arXiv
%X We study the Horn problem in the context of algebraic codes on a smooth projective curve defined over a finite field, reducing the problem to the representation theory of the special linear group $SL(2,F_q)$. We characterize the coefficients that appear in the Kronecker product of symmetric functions in terms of Gromov-Witten invariants of the Hilbert scheme of points in the plane. In addition we classify all the algebraic codes defined over the rational normal curve.
%U http://arxiv.org/abs/1301.1652v1