Codes, Horn's problem and Gromov-Witten invariants
Alberto Besana, Cristina Martínez · 2013
Abstract. 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,Fq). 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. 1.