Covariant algebra of the binary nonic and the binary decimic

Abstract : 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.
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Contributor : Marie-Annick Guillemer <>
Submitted on : Wednesday, September 30, 2015 - 5:07:12 PM
Last modification on : Monday, March 4, 2019 - 2:04:19 PM

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  • HAL Id : hal-01207391, version 1
  • ARXIV : 1509.08749


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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