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Line 50: ===Covariants of a binary quadric=== The algebra of invariants of the quadratic form ''ax''<sup>2</sup> + 2''bxy'' + ''cy''<sup>2</sup> is a polynomial algebra in 1 variable generated by the discriminant ''b''<sup>2</sup> − 4''ac'' of degree 2. The algebra of covariants is a polynomial algebra in 2 variables generated by the discriminant together with the form ''f'' itself (of degree 1 and order 2). {{harv\|Schur\|1968\|loc=II.8}} {{harv\|Hilbert\|1993\|loc=XVI, XX}} ===Covariants of a binary cubic===

Invariant of a binary form: Difference between revisions