-wave equations with orthogonal algebras: and reductions and soliton solutions.
Naive boundary strata and nilpotent orbits
We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups , , and .
Naturally graded -filiform Lie algebras in arbitrary finite dimension.
New adventures in the land of -analogues (Yang-Baxter equations). (Nouvelles aventures au pays des -analogues (équation de Yang-Baxter).)
New representation of the non-symmetric homogeneous bounded domains in and .
New solutions for Yang-Baxter systems.
New Unitary Representations of Loop Groups.
Nilpotency in Classical Groups over a Field of Characteristic 2.
Nilpotent Classes and Sheets of Lie Algebras in Bad Characteristic.
Nilpotent cohomology of the oscillator representation.
Nilpotent complex structures.
Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.
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: 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.