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Chapitre D'ouvrage Année : 2017

Covariant algebra of the binary nonic and the binary decimic

Résumé

We give a minimal system of 476 generators (resp. 510 generators) for the algebra of SL(2,C)-covariant polynomials on binary forms of degree 9 (resp. degree 10). These results were only known as conjectures so far. The computations rely on Gordan's algorithm, and some new improvements.

Dates et versions

hal-01207391 , version 1 (30-09-2015)

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Reynald Lercier, Marc Olive. Covariant algebra of the binary nonic and the binary decimic. Alp Bassa; Alain Couvreur; David Kohel. Arithmetic, geometry, cryptography and coding theory, 686, American Mathematical Society, pp.65-91, 2017, Contemporary Mathematics, 978-1-4704-2810-5. ⟨hal-01207391⟩
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