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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.


Hermite, Charles (1854), "Sur la theorie des fonctions homogenes à deux indéterminées", Cambridge and Dublin Mathematical Journal, 9: 172–217

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