On the unitarizability of derived functor modules.
On Whittaker Vectors and Representation Theory.
Parity sheaves, moment graphs and the -smooth locus of Schubert varieties
We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the -smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.
Progrès récents vers la classification du dual unitaire des groupes réductifs réels
Quantum co-adjoint orbits of the group of affine transformations of the complex line.
Quantum half-planes via deformation quantization.
Quelques applications de la cohomologie d'intersection
Representations of Coxeter Groups and Hecke Algebras.
Semiholonomic jets and induced modules in Cartan geometry calculus
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects and tools. This idea was broadened essentially by Elie Cartan in the beginning of the last century, and we may consider (curved) geometries as modelled over certain (flat) Klein’s models. The aim of this short survey is to explain carefully the basic...
Some Remarks on Invariant Means.
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Stable base change C / R of certain derived functor modules.
Standard domino tableaux and asymptotic Hecke algebras
Sur la représentation coadjointe des algèbres de Lie résolubles.
The asymptotic behavior of holomorphic representations
The characteristic cycles of holonomic systems on a flag manifold.
The combinatorics of Harish-Chandra bimodules.
The Enright Functor on the Bernstein-Gelfand-Gelfand Category ... .
The F-method and a branching problem for generalized Verma modules associated to
The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in [15]. In the present article, we employ the recently developed F-method, [10], [11] to the couple of non-compatible Lie algebras , and generalized conformal -Verma modules of scalar type. As a result, we classify the -singular vectors for this class of -modules.
The Kazhdan-Lusztig Conjecture for Generalized Verma Modules