G. Dhont and B. I. Zhilinskií, The action of the orthogonal group on planar vectors: invariants, covariants and syzygies, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.45, pp.455202-2013
DOI : 10.1088/1751-8113/46/45/455202

T. Molien, ¨ Uber die Invarianten der linearen substitutionsgruppen

I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, 1980.

M. A. Collins and D. F. Parsons, Implications of rotation???inversion???permutation invariance for analytic molecular potential energy surfaces, The Journal of Chemical Physics, vol.99, issue.9, pp.6756-6772, 1993.
DOI : 10.1063/1.465819

M. A. Morrison and G. A. Parker, A Guide to Rotations in Quantum Mechanics, Australian Journal of Physics, vol.40, issue.4, pp.465-497, 1987.
DOI : 10.1071/PH870465

R. P. Stanley, Linear diophantine equations and local cohomology, Inventiones Mathematicae, vol.6, issue.2, pp.175-193, 1982.
DOI : 10.1007/BF01394054

P. Cassam-chena¨?chena¨? and F. Patras, Symmetry-adapted polynomial basis for global potential energy surfaces-applications to XY4 molecules, Journal of Mathematical Chemistry, vol.118, issue.4, pp.938-966, 2008.
DOI : 10.1007/s10910-008-9354-y

L. Michel and B. I. Zhilinskií, Symmetry, invariants, topology. Basic tools, Physics Reports, vol.341, issue.1-6, pp.11-84, 2001.
DOI : 10.1016/S0370-1573(00)00088-0

URL : https://hal.archives-ouvertes.fr/hal-00019087