Les groupes oscillateurs et leurs reseaux.
Les noyaux de Bergman et Szegö pour des domaines strictment pseudo-convexes qui généralisent la boule.
Let G be a complex semi-simple group with a compact maximal group K and an irreducible holomorphic representation ρ on a finite dimensional space V. There exists on V a K-invariant Hermitian scalar product. Let Ω be the intersection of the unit ball of V with the G-orbit of a dominant vector. Ω is a generalization of the unit ball (case obtained for G = SL(n,C) and ρ the natural representation on Cn).We prove that for such manifolds, the Bergman and Szegö kernels as for the ball are rational fractions...
Les p-extensions entre représentations simples de au voisinage du caractère trivial, et leurs cup-produits
Les représentations des groupes réductifs -adiques et leurs caractères
Les représentations supercuspidales des groupes métaplectiques sur et leurs caractères
Les sous-algèbres de Cartan réelles et la frontière d'une orbite ouverte dansune variété de drapeaux.
L-functions and Fourier-Jacobi coefficients for the unitary group U (3).
L-Functions for GL (n).
L...-harmonic Analysis on Semi-Direct products of Abelian Groups.
L'homomorphisme de Harish-Chandra pour les paires symétriques orthogonales et parties radiales des opérateurs différentiels invariants sur les espaces symétriques
Lie algebra cohomology and generating functions.
Lie Algebra Cohomology and the Resolution of Certain Harish-Chandra Modules.
Lie algebra structure in the model of 3-link snake robot
In this paper, we study a 5 dimensional configuration space of a 3-link snake robot model moving in a plane. We will derive two vector fields generating a distribution which represents a space of the robot’s allowable movement directions. An arbitrary choice of such generators generates the entire tangent space of the configuration space, i.e. the distribution is bracket-generating, but our choice additionally generates a finite dimensional Lie algebra over real numbers. This allows us to extend...
Lie algebras of a class of top spaces.
Lie algebroids and mechanics
We give a formulation of certain types of mechanical systems using the structure of groupoid of the tangent and cotangent bundles to the configuration manifold ; the set of units is the zero section identified with the manifold . We study the Legendre transformation on Lie algebroids.
Lie generators for one parameter semigroups of transformations.
Lie group extensions associated to projective modules of continuous inverse algebras
We call a unital locally convex algebra a continuous inverse algebra if its unit group is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group on a continuous inverse algebra by automorphisms and any finitely generated projective right -module , we construct a Lie group extension of by the group of automorphisms of the -module . This Lie group extension is a “non-commutative” version of the group of automorphism...
Lie group structures and reproducing kernels on the unit ball of
Si introducono due strutture di gruppo di Lie su un dominio di Siegel omogeneo di . Per la palla unitaria si definisce una famiglia ad un parametro di strutture intermedie; ad ognuna di esse viene associato naturalmente un nucleo riproducente ottenendo un'interpolazione tra il nucleo di Bergman ed il nucleo di Szego.
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...