A comparison theorem for -homology
A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians
A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.)
A Transversality property of a derivation of the universal enverloping algebra U (k), for SO (n,1) and SU (n,1).
Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
An obstruction to represent abelian Lie algebras by unipotent matrices.
The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
Another representation for the maximal Lie algebra of in terms of operators.
Applications of the characteristic identity for GL(N)
Approximation in Lie transformation groups by superposition of one-parameter subgroups. (Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen.)
Bounded bicircular domains in Cn.
Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.
Classification of 4-Dimensional Generalized Symmetric Planes.
Classification of the irreducible representations of the groups
Comments on a paper of Brown and Guivarc'h : “Espaces de Poisson des groupes de Lie”
Contraction semigroups and representations.
Control Systems on the Orthogonal Group SO(4)
We classify the left-invariant control affine systems evolving on the orthogonal group . The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.
Convolution des courants sur un groupe de Lie
Correction to the paper "The structure space of the trigonometric polynomials on a comapct group".