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
The kernel of an homomorphism of Harish-Chandra
The Last Possible Place of Unitarity for Certain Highest Weight Modules.
The n-Homology of Harish-Chandra Modules: Generalizing a Theorem of Kostant.
The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra
Let Γ be a finite-dimensional hereditary basic algebra. We consider the radical rad Γ as a Γ-bimodule. It is known that there exists a quasi-hereditary algebra 𝓐 such that the category of matrices over rad Γ is equivalent to the category of Δ-filtered 𝓐-modules ℱ(𝓐,Δ). In this note we determine the quasi-hereditary algebra 𝓐 and prove certain properties of its module category.
The socle filtration of a Verma module
Towards the Kazhdan-Lusztig conjecture
Translation of natural operators on manifolds with AHS-structures
We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of almost Grassmannian structures.
Two Reductive Dual Pairs in Groups of Type E.