Hermite reciprocity

In mathematics, Hermite's law of reciprocity, introduced by , states that the degree "m" covariants of a binary form of degree "n" correspond to the degree "n" covariants of a binary form of degree "m". In terms of representation theory it states that the representations "S""m" "S""n" C2 and "S""n" "S""m" C2 of "GL"2 are isomorphic.