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 *S*^{m} *S*^{n} **C**^{2} and *S*^{n} *S*^{m} **C**^{2} of *GL*_{2} are isomorphic.

References

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

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Hellenica World - Scientific Library

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