Hermite reciprocity

{{short description|Invariant theory in mathematics}}

In mathematics, Hermite's law of reciprocity, introduced by {{harvs|txt|last=Hermite|authorlink=Charles Hermite|year=1854}}, 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 Sⁿ C² and Sⁿ S^m C² of GL₂ are isomorphic.