Invariant symbolic calculus for compact Lie groups
We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.
Invariant symbolic calculus for semidirect products
Let be the semidirect product where is a connected semisimple non-compact Lie group acting linearly on a finite-dimensional real vector space . Let be a unitary irreducible representation of which is associated by the Kirillov-Kostant method of orbits with a coadjoint orbit of whose little group is a maximal compact subgroup of . We construct an invariant symbolic calculus for , under some technical hypothesis. We give some examples including the Poincaré group.
Invariant theory for the orthogonal group via star products.
Invariant theory of a class of infinite-dimensional groups.
Invariant triple products.
Invariante holomorphe Funktionen auf reduktiven Liegruppen.
Invariante Spuren auf Gruppenalgebren.
Invarianten endlicher Gruppen und biholomorphe Abbildungen.
Invariants from triangulations of hyperbolic 3-manifolds.
Invariants of a class of transformation groups.
Invariants of complex structures on nilmanifolds
Let be a simply connected -dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on compatible with to be minimal, if it minimizes the norm of the invariant part of the Ricci tensor among all compatible metrics with the same scalar curvature. In [7], J. Lauret proved that minimal metrics (if any) are unique up to isometry and scaling. This uniqueness allows us to distinguish two complex structures with Riemannian data, giving...
Invariants symétriques entiers des groupes de Weyl et torsion.
Inversion and joint continuity in semigroups on kw-spaces.
Inversion des intégrales orbitales sur certains espaces symétriques réductifs
Inversion in some algebras of singular integral operators.
Invertible Carnot Groups
We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity. A more general characterization of inversion invariant bi-Lipschitz homogeneity for certain non-fractal metric spaces is also provided.
Iperalgebre dei gruppi abeliani localmente compatti
Irreducibility and generation in continuous lattices.
Irreducibility of certain nonunitary representations in spaces of eigendistributions. (Irréductibilité de certaines representations non unitaires dans des espaces de distributions propres.)
Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.