Sur les algèbres de Lie nilpotentes admettant un tore de dérivations.
Nilpotent control systems.
We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the non- linear system corresponding to the control of the trails pulled by car.
Classification of filiform Lie algebras in dimension 8.
Varieties of nilpotent Lie algebras of dimension less than 8
Formes d'inertie et complexe de Koszul associés à des polynômes plurihomogènes.
The existence of common zero of a family of polynomials has led to the study of inertial forms, whose homogeneous part of degree 0 constitutes the ideal resultant. The Kozsul and Cech cohomologies groups play a fundamental role in this study. An analogueous of Hurwitz theorem is given, and also, one finds a N. H. McCoy theorem in a particular case of this study.
Noncomplete affine structures on Lie algebras of maximal class.
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