Remarques sur la convergence des martingales dans les variétés
Remarques sur les équations de Navier-Stokes stationnaires
Remarques sur les idéaux de polynômes et de formes différentielles extérieures I
Remarques sur les idéaux de polynômes et de formes différentielles extérieures II
Remarques sur les problèmes comportant des inéquations différentielles globales
Remarques sur les systèmes différentiels
Removability of singularities of harmonic maps into pseudo-riemannian manifolds
Removable singularities for the Yang-Mills-Higgs equations in two dimensions
Removable singularities of -differential forms and quasiregular mappings.
Removable singularities of Yang-Mills fields in
Representation of a gauge group as motions of a Hilbert space
This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject.In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered as a Lie group. The second...
Representations, duals and quantum doubles of monoidal categories
[For the entire collection see Zbl 0742.00067.]The Tanaka-Krein type equivalence between Hopf algebras and functored monoidal categories provides the heuristic strategy of this paper. The author introduces the notion of a double cross product of monoidal categories as a generalization of double cross product of Hopf algebras, and explains some of the motivation from physics (the representation theory for double quantum groups).The Hopf algebra constructions are formulated in terms of monoidal categories...
Representations of Compact Lie Groups and Elliptic Operators.
Representations of étale Lie groupoids and modules over Hopf algebroids
The classical Serre-Swan's theorem defines an equivalence between the category of vector bundles and the category of finitely generated projective modules over the algebra of continuous functions on some compact Hausdorff topological space. We extend these results to obtain a correspondence between the category of representations of an étale Lie groupoid and the category of modules over its Hopf algebroid that are of finite type and of constant rank. Both of these constructions are functorially...
Representations of groups on eigenspaces of invariant differential operators
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Representations of the group of functions taking values in a compact Lie group
Representations of the Heisenberg group of dimension 2n+1 on eigenspaces.
Représentations relativement équivalentes et variétés riemanniennes isospectrales.
Résolubilité sur un espace riemannien symétrique