Série de Poincaré et systèmes de paramètres pour les invariants des formes binaires de degré 7

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1. [1] BROUWER (A. E.) and COHEN (A. M.). — The Poincaré series of the polynomials invariant under SU2 in its irreducible representation of degree ≤17, preprint of the Mathematisch Centrum, Amsterdam, 1979. Zbl0417.22008
2. [2] GORDAN (P.), Vorlesungen über Invariantentheorie, bd. II, Leipzig, Teubner, 1887. JFM19.0099.01
3. [3] GRACE (J. H.) and YOUNG (A.). — The Algebra of Invariants, Cambridge Univ. Press, 1903. JFM34.0114.01
4. [4] HAMMOND (J.). — A simple proof of the existence of irreducible invariants of degrees 20 and 30 for the binary seventhic, Math. Ann., t. 36, 1980, p. 255-261. Zbl22.0146.02JFM22.0146.02
5. [5] HOCHSTER (M.) and ROBERTS (J. L.). — Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Advances in Math., t. 13, 1974, p. 115-175. Zbl0289.14010MR50 #311
6. [6] HUFFMAN (W. C.) and SLOANE (N. J. A.). — Most primitive groups have messy invariants, Advances in Math., t. 32, 1979, p. 118-127. Zbl0421.20005MR80e:20056
7. [7] SHIODA (T.). — On the graded ring of invariants of binary octavics, Amer. J. Math., t. 89, 1967, p. 1022-1046. Zbl0188.53304MR36 #3790
8. [8] SPRINGER (T. A.). — On the invariant theory of SU2, Indagationes Math., t. 42, 1980, p. 339-345. Zbl0449.22017MR83k:20041
9. [9] STANLEY (R. P.). — Hilbert functions of graded algebras, Advances in Math., t. 28, 1978, p. 57-83. Zbl0384.13012MR58 #5637
10. [10] SYLVESTER (J. J.) and FRANKLIN (F.). — Tables of generating functions and grundforms for the binary quantics of the first ten orders, Amer. J. Math., t. 2, 1879, p. 223-251. JFM11.0082.02
11. [11] VON GALL (F.). — Das vollständige Formensystem der binären Form 7ter Ordnung, Math. Ann., t. 31, 1888, p. 318-336. Zbl20.0128.01JFM20.0128.01