Hopf mappings for complex quaternions.
Indice du normalisateur du centralisateur d’un élément nilpotent dans une algèbre de Lie semi-simple
L’indice d’une algèbre de Lie algébrique complexe est la codimension minimale de ses orbites coadjointes. Si est semi-simple, son indice, , est égal à son rang, . Le but de cet article est d’établir une formule générale pour l’indice de pour nilpotent, où est le normalisateur dans du centralisateur de . Plus précisément, on obtient le résultat suivant, conjecturé par D. Panyushev :où est le centre de . Panyushev obtient l’inégalité dans Panyushev 2003 et on montre que la maximalité...
Injectivity of the double fibration transform for cycle spaces of flag domains.
Intégrales d'entrelacement et fonctions de Whittaker
Intertwining Operators for Semisimple Groups, II.
Invariant control sets on flag manifolds and ideal boundaries of symmetric spaces.
Invariant differential operators are linear combinations of symmetric positive ones.
Invariant differential operators on the tangent space of some symmetric spaces
Let be a complex, semisimple Lie algebra, with an involutive automorphism and set , . We consider the differential operators, , on that are invariant under the action of the adjoint group of . Write for the differential of this action. Then we prove, for the class of symmetric pairs considered by Sekiguchi, that . An immediate consequence of this equality is the following result of Sekiguchi: Let be a real form of one of these symmetric pairs , and suppose that is a -invariant...
Invariant Measures and Minimal Sets of Horospherical Flows.
Invariant meromorphic functions on Stein spaces
In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and their algebraic subgroups. In particular, we show that in this setup invariant meromorphic functions separate orbits in general position. Applications to almost homogeneous spaces and principal orbit types are given. Furthermore, we use the main result...
Invariant mesures on homogeneous manifolds of reductive type.
Invariant operators on higher K-types.
Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups.
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.
Inversion des intégrales orbitales sur certains espaces symétriques réductifs
Irreducible Characters of Semisimple Lie Groups III. Proof of Kazhdan-Lusztig Conjecture in the Integral Case.
Isoperimetric Inequalities for Lattices in Semisimple Lie Groups of Rank 2.
Jacobians and invariants.