H. Derksen, Computation of Invariants for Reductive Groups, Advances in Mathematics, vol.141, issue.2, pp.366-384, 1999.
DOI : 10.1006/aima.1998.1787

H. Derksen and G. Kemper, Computational invariant theory Invariant Theory and Algebraic Transformation Groups I, Encyclopaedia of Math. Sc, vol.130, 2002.

M. Fels and P. J. Olver, Moving coframes. II. Regularization and theoretical foundations, Acta Applicandae Mathematicae, vol.55, issue.2, pp.127-208, 1999.
DOI : 10.1023/A:1006195823000

]. E. Hk07a, I. A. Hubert, and . Kogan, Rational invariants of a group action. Construction and rewriting, Journal of Symbolic Computation, vol.42, issue.12, pp.203-217, 2007.

E. Hubert and I. A. Kogan, Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions, Foundations of Computational Mathematics, vol.7, issue.4, 2007.
DOI : 10.1007/s10208-006-0219-0
URL : https://hal.archives-ouvertes.fr/inria-00198857

G. [. Hubert and . Labahn, Rational invariants of scalings from Hermite normal forms, Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC '12, pp.219-226
DOI : 10.1145/2442829.2442862
URL : https://hal.archives-ouvertes.fr/hal-00657991

G. [. Hubert and . Labahn, Scaling Invariants and Symmetry Reduction of Dynamical Systems, Foundations of Computational Mathematics, vol.12, issue.2, 2013.
DOI : 10.1007/s10208-013-9165-9
URL : https://hal.archives-ouvertes.fr/hal-00668882

]. E. Hub09 and . Hubert, Differential invariants of a Lie group action: syzygies on a generating set, Journal of Symbolic Computation, vol.44, issue.3, pp.382-416, 2009.

]. E. Hub12 and . Hubert, Algebraic and differential invariants, Foundations of computational mathematics, 2011.

]. G. Kem07 and . Kemper, The computation of invariant fields and a new proof of a theorem by Rosenlicht . Transformation Groups, pp.657-670, 2007.

J. Müller-quade and T. Beth, Calculating Generators for Invariant Fields of Linear Algebraic Groups, Lecture Notes in Computer Science, vol.1719, pp.392-403, 1999.
DOI : 10.1007/3-540-46796-3_37

E. [. Popov and . Vinberg, Invariant theory, Algebraic geometry. IV, volume 55 of Encyclopaedia of Mathematical Sciences, pp.122-278, 1994.

M. Rosenlicht, Some Basic Theorems on Algebraic Groups, American Journal of Mathematics, vol.78, issue.2, pp.401-443, 1956.
DOI : 10.2307/2372523

]. B. Stu93 and . Sturmfels, Algorithms in invariant theory. Texts and Monographs in Symbolic Computation, 1993.