Two Reductive Dual Pairs in Groups of Type E.
Two supergeometries from fourfold gradings of superalgebras
Two-input control systems on the euclidean group SE (2)
Any two-input left-invariant control affine system of full rank, evolving on the Euclidean group SE (2), is (detached) feedback equivalent to one of three typical cases. In each case, we consider an optimal control problem which is then lifted, via the Pontryagin Maximum Principle, to a Hamiltonian system on the dual space 𝔰𝔢 (2)*. These reduced Hamilton − Poisson systems are the main topic of this paper. A qualitative analysis of each reduced system is performed. This analysis...
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere.
Type I criteria and the Plancherel formula for Lie groups with co-compact radical
Types and Hecke algebras for principal series representations of split reductive -adic groups
Types et inductions pour les représentations modulaires des groupes -adiques. With an appendix by Marie-France Vignéras
Types for elliptic non-discrete series representations of , prime and a -adic field.
Types induits des paraboliques maximaux de et
Nous utilisons la théorie des paires couvrantes de C. Bushnell et P. Kutzko afin de déterminer des types pour chaque classe d’inertie de représentations supercuspidales irréductibles des sous-groupes de Levi maximaux de et de , où est un corps local non archimédien de caractéristique résiduelle impaire.
Über Automorphismengruppen lokal-kompakter Gruppen und Derivationen von Lie-Gruppen.
Über das Synthese-Problem fur nilpotente Liesche Gruppen.
Über das Verhalten endlicher Untergruppen bei Darstellungen kompakter Liegruppen.
Über eine Methode zur Auffindung stetiger Iterationen in Lie-Gruppen.
Über Integralzerlegungen von Darstellungen nilpotenter Liegruppen.
Über irreguläre Darstellungen von halbeinfachen Lieschen Gruppen
Über Untergruppen kompakter Liegruppen als Isotropiegruppen bei linearen Aktionen.
Ultra-irreducibility of induced representations.
Ultrarigid tangents of sub-Riemannian nilpotent groups
We show that the tangent cone at the identity is not a complete quasiconformal invariant for sub-Riemannian nilpotent groups. Namely, we show that there exists a nilpotent Lie group equipped with left invariant sub-Riemannian metric that is not locally quasiconformally equivalent to its tangent cone at the identity. In particular, such spaces are not locally bi-Lipschitz homeomorphic. The result is based on the study of Carnot groups that are rigid in the sense that their only quasiconformal maps...
Un analogue du théorème de Borel-Weil-Bott dans le cas non compact
Un exercice sur et les représentations de Weil