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→The ring of invariants: expand |
→The ring of invariants: degree 2 |
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The structure of the ring of invariants has been worked out for small degrees as follows:
# The only invariants are constants.
# The algebra of invariants of the binary form ''ax''<sup>2</sup> + ''bxy'' + ''cy''<sup>2</sup> is a polynomial ring in 1 variable generated by the discriminant ''b''<sup>2</sup> − 4''ac''
# The algebra of invariants is generated by invariants of degree 4.
# The algebra of invariants is generated by invariants of degrees 2, 3.
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