Hermite reciprocity
In mathematics, Hermite's law of reciprocity, introduced by Hermite (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 Sm Sn C2 and Sn Sm C2 of GL2 are isomorphic.
References
[edit]- Hermite, Charles (1854), "Sur la theorie des fonctions homogenes à deux indéterminées", Cambridge and Dublin Mathematical Journal, 9: 172–217