Cauchy-Szegö kernels for Hardy spaces on simple Lie groups.
Cayley orders
Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.
Central sidonicity for compact Lie groups
It is known that the dual of a compact, connected, non-abelian group may contain no infinite central Sidon sets, but always does contain infinite central -Sidon sets for We prove, by an essentially constructive method, that the latter assertion is also true for every infinite subset of the dual. In addition, we investigate the relationship between weighted central Sidonicity for a compact Lie group and Sidonicity for its torus.
Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.
Characterization of cycle domains via Kobayashi hyperbolicity
A real form of a complex semi-simple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of which, with very few well-understood exceptions, are parameterized by the Wolf cycle domains in...
Characters of the Nullcone.
Classification of almost spherical pairs of compact simple Lie groups
All homogeneous spaces G/K (G is a simple connected compact Lie group, K a connected closed subgroup) are enumerated for which arbitrary Hamiltonian flows on T*(G/K) with G-invariant Hamiltonians are integrable in the class of Noether integrals and G-invariant functions.
Classification of spherical nilpotent orbits in complex symmetric space.
Classification of two involutions on compact semisimple Lie groups and root systems.
Cocompact subgroups of semi-simple Lie groups.
Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .
Cohomology of for classical complex Lie supergroups and characters of some atypical -modules
We compute the unique nonzero cohomology group of a generic - linearized locally free -module, where is the identity component of a complex classical Lie supergroup and is an arbitrary parabolic subsupergroup. In particular we prove that for this cohomology group is an irreducible -module. As an application we generalize the character formula of typical irreducible -modules to a natural class of atypical modules arising in this way.
Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.
Commutativity of intertwining operators for semisimple groups
Compact manifold of coherent states invariant by semisimple Lie groups
Compact simple Lie groups and their -, -, and -transforms.
Compactification of parahermitian symmetric spaces and its applications. II: Stratifications and automorphism groups.
Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one.
Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups II.