Rational and Generic Cohomology
Rational points and Coxeter group actions on the cohomology of toric varieties
We derive a simple formula for the action of a finite crystallographic Coxeter group on the cohomology of its associated complex toric variety, using the method of counting rational points over finite fields, and the Hodge structure of the cohomology. Various applications are given, including the determination of the graded multiplicity of the reflection representation.
Rational tori, semisimple orbits and the topology of hyperplane complements.
Recognition of some linear groups over the binary field by the spectrum.
Rectificatif à l'article «Présentation de certains couples fischériens de type classique»
Regular orbits of solvable linear -groups.
Relèvement de Brauer et représentations paraboliques de
Représentations de certains groupes symplectiques finis
Représentations linéaires des groupes finis «algébriques»
Representations of p-groups at characteristic p l
Representations of quantum algebras.
Restricting supercharacters of the finite group of unipotent uppertriangular matrices.
Robust neural network control of robotic manipulators via switching strategy
In this paper, a robust neural network control scheme for the switching dynamical model of the robotic manipulators has been addressed. Radial basis function (RBF) neural networks are employed to approximate unknown functions of robotic manipulators and a compensation controller is designed to enhance system robustness. The weight update law of the robotic manipulator is based on switched multiple Lyapunov function method and the periodically switching law which is suitable for practical implementation...
Roots and Maximal Tori in Finite Forms of Semisimple Algebraic Groups.