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.
Nilpotent elements and solvable actions.
In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Nilpotent Lie algebras of maximal rank and of Kac-Moody type .
Nilpotent Lie algebras of vectorfields.
Nombre de rotation, structures géométriques sur un cercle et groupe de Bott-Virasoro
Une classification complète des stabilisateurs coadjoints du groupe de Bott-Virasoro est obtenue par une méthode essentiellement géométrique. L’outil de base est le nombre de rotation d’un difféomorphisme du cercle. En particulier, nous mettons en évidence la présence de groupes d’isotropie non-connexes et montrons que la transformation de Miura des opérateurs de Hill peut s’interpréter comme une application moment sur l’espace des structures affines du cercle.
Non completely solvable systems of complex first order PDEs
Non-abelian tensor and exterior products modulo and universal -central relative extension of Lie algebra.
Non-abelian tensor product of Lie algebras and its derived functors.
Nonassociative algebras: a framework for differential geometry.
Nonassociative algebras: some applications.
Nonassociative algebras can be applied, either directly or using their particular methods, to many other branches of Mathematics and other Sciences. Here emphasis will be given to two concrete applications of nonassociative algebras. In the first one, an application to group theory in the line of the Restricted Burnside Problem will be considered. The second one opens a door to some applications of non-associative algebras to Error correcting Codes and Cryptography.
Nonassociative algebras with submultiplicative bilinear form.
Non-Associative Division Algebras Admitting Many Derivations.
Nonassociative ultraprime normed algebras.
Recently M. Mathieu [9] has proved that any associative ultraprime normed complex algebra is centrally closed. The aim of this note is to announce the general nonassociative extension of Mathieu's result obtained by the authors [2].
Nonassociativity in VOA theory and finite group theory
We discuss some examples of nonassociative algebras which occur in VOA (vertex operator algebra) theory and finite group theory. Methods of VOA theory and finite group theory provide a lot of nonassociative algebras to study. Ideas from nonassociative algebra theory could be useful to group theorists and VOA theorists.
Noncommutative 3-sphere as an example of noncommutative contact algebras
The notion of deformation quantization was introduced by F.Bayen, M.Flato et al. in [1]. The basic idea is to formally deform the pointwise commutative multiplication in the space of smooth functions on a symplectic manifold to a noncommutative associative multiplication, whose first order commutator is proportional to the Poisson bracket. It is of interest to compute this quantization for naturally occuring cases. In this paper, we discuss deformations of contact algebras and give a definition...
Noncommutative algebraic geometry: From pi-algebras to quantum groups.
Noncommutative Jordan algebras containing minimal inner ideals
Noncommutative Jordan C*-Algebras.
Non-commutative moment problems.
Noncomplete affine structures on Lie algebras of maximal class.