Covariant algebra of the binary nonic and the binary decimic

被引：9
作者：
Lercier, Reynald [1 ,2 ]
Olive, Marc [3 ]
机构：
[1] DGA MI, La Roche Marguerite, F-35174 Bruz, France
[2] Univ Rennes 1, Inst Rech Math Rennes, Campus Beaulieu, F-35042 Rennes, France
[3] Aix Marseille Univ, Cent Marseille, LMA, F-13402 Marseille 20, France
来源：
ARITHMETIC, GEOMETRY, CRYPTOGRAPHY AND CODING THEORY | 2017年 / 686卷
关键词：
Classical invariant theory; Covariants; Gordan's algorithm; INVARIANT-THEORY; POINCARE-SERIES; COMPUTING INVARIANTS; REDUCTIVE GROUPS; LINEAR-SYSTEMS; TRANSVECTANTS; CURVES; COMPUTATION; FORM;
D O I：
10.1090/conm/686/13778
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a minimal system of 476 generators (resp. 510 generators) for the algebra of SL2 (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.
引用
收藏
页码：65 / +
页数：8
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