Exterior Differential Systems with Symmetry, Acta Applicandae Mathematicae, vol.6, issue.1, pp.3-31, 2005. ,
DOI : 10.1007/s10440-005-1136-y
CRC handbook of Lie group analysis of differential equations, 1996. ,
Normal forms for general polynomial matrices, Journal of Symbolic Computation, vol.41, issue.6, pp.708-737, 2006. ,
DOI : 10.1016/j.jsc.2006.02.001
Hydrodynamics: A study in logic, fact and similitude, 1960. ,
Dimensional Analysis, 1931. ,
Methods in equivariant bifurcations and dynamical systems, volume 15 of Advanced Series in Nonlinear Dynamics, 2000. ,
A Course in Computational Algebraic Number Theory, 1993. ,
DOI : 10.1007/978-3-662-02945-9
Moving coframes. ii. Regularization and theoretical foundations, Acta Applicandae Mathematicae, vol.55, issue.2, pp.127-208, 1999. ,
DOI : 10.1023/A:1006195823000
Integrating Scalar Ordinary Differential Equations with Symmetry Revisited, Foundations of Computational Mathematics, vol.7, issue.4, pp.417-454, 2007. ,
DOI : 10.1007/s10208-005-0207-9
Computer algebra methods for equivariant dynamical systems, Lecture Notes in Mathematics, vol.1728, 2000. ,
DOI : 10.1007/BFb0104059
Extended GCD and Hermite Normal Form Algorithms via Lattice Basis Reduction, Experimental Mathematics, vol.75, issue.3, 1998. ,
DOI : 10.1017/CBO9780511574702
Generation properties of Maurer-Cartan invariants, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00194528
Rational invariants of a group action. Construction and rewriting, Journal of Symbolic Computation, vol.42, issue.1-2, pp.203-217, 2007. ,
DOI : 10.1016/j.jsc.2006.03.005
URL : https://hal.archives-ouvertes.fr/hal-00839283
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
Rational invariants of scalings from Hermite normal forms, Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC '12, 2012. ,
DOI : 10.1145/2442829.2442862
URL : https://hal.archives-ouvertes.fr/hal-00657991
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00001251
Dimensional Analysis, American Journal of Physics, vol.24, issue.7, 1967. ,
DOI : 10.1119/1.1934310
Formula processing on physical systems, Complex Systems, vol.11, issue.2, pp.141-160, 1997. ,
The computation of invariant fields and a new proof of a theorem by Rosenlicht. Transformation Groups, pp.657-670, 2007. ,
Dimensional analysis in computer algebra, Proceedings of the 2001 international symposium on Symbolic and algebraic computation , ISSAC '01, 2001. ,
DOI : 10.1145/384101.384129
A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra, Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC '10, 2010. ,
DOI : 10.1145/1837934.1837956
URL : https://hal.archives-ouvertes.fr/hal-00825033
Mathematics applied to deterministic problems in the natural sciences, Society for Industrial and Applied Mathematics, 1988. ,
DOI : 10.1137/1.9781611971347
A Practical Guide to the Invariant Calculus, 2010. ,
DOI : 10.1017/CBO9780511844621
Calculating generators for invariant fields of linear algebraic groups In Applied algebra, algebraic algorithms and error-correcting codes, LNCS, vol.1719, 1999. ,
Applications of Lie Groups to Differential Equations. Number 107 in Graduate texts in Mathematics, 1986. ,
Invariant Theory, Algebraic geometry. IV, Encyclopaedia of Mathematical Sciences, 1994. ,
Theory of Linear and Integer Programming, 1986. ,
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries, Algebraic Biology, 2007. ,
DOI : 10.1007/978-3-540-73433-8_20
URL : https://hal.archives-ouvertes.fr/inria-00120991
Algorithms for Matrix Canonical Forms, 2000. ,
Asymptotically fast computation of Hermite normal forms of integer matrices, Proceedings of the 1996 international symposium on Symbolic and algebraic computation , ISSAC '96, pp.259-266, 1996. ,
DOI : 10.1145/236869.237083
Gröbner Bases and Convex Polytopes, 1996. ,
DOI : 10.1090/ulect/008