Algebraic study of systems of partial differential equations
On the Holonomic Systems of Linear Differential Equations, II.
Algebraic study of systems of partial differential equations
Construction du noyau de Bergman local
-modules and representation theory of Lie groups
Moderate and formal cohomology associated with constructible sheaves
Problème de Cauchy pour les systèmes microdifférentielles dans le domaine complexe.
The Campbell-Hausdorff Formula and Invariant Hyperfunctions.
Variété caractéristique de la restriction d'un module différentiel
Problème de Cauchy pour les systèmes d'équations différentielles et microdifférentielles dans le domaine complexe
Ind-Sheaves, distributions, and microlocalization
Laplace transform and Fourier-Sato transform
Involutivité des variétés microcaractéristiques
Crystal bases of Verma modules for quantum affine Lie algebras
Involutivity of truncated microsupports
Using a result of J.-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and , if two functions vanish on , then so does their Poisson bracket.
Truncated microsupport and holomorphic solutions of D-modules
Crystal bases for the quantum queer superalgebra
In this paper, we develop the crystal basis theory for the quantum queer superalgebra . We define the notion of crystal bases and prove the tensor product rule for -modules in the category . Our main theorem shows that every -module in the category has a unique crystal basis.
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