1 citations · 3 across the 6 of their papers we have counts for
6 papers
Regularity of a D-Module along a submanifold
Yves Laurent
We study how regularity along a submanifold of a differential or microdifferential system can propagate from a family of submanifolds to another. The first result is that a microdi…
Regularity and b-functions for D-modules
Yves Laurent
A holonomic D-module on a complex analytic manifoldadmits always a b-function along any submanifold. If the module is regular, itadmits also a regular b-function, that is a b-funct…
Kirillov's conjecture and $\CaD$-modules
Esther Galina, Yves Laurent
In the theory of Lie groups, the irreducibility of a unitary representation is not preserved in general by restriction to a subgroup. Kirillov's conjecture says that it is preserve…
b-functions and integrable solutions of holonomic D-modules
Yves Laurent
A famous theorem of Harish-Chandra shows that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We give here an algebraic version of this…
Regularity of the D-module associated to a symmetric pair
Yves Laurent
The invariant eigendistributions on a reductive Lie algebra are solutions of a holonomic D-module which has been proved to be regular by Kashiwara-Hotta. We solve here a conjecture…
D-modules and characters of semi-simple Lie groups
Yves Laurent, Esther Galina
A celebrated theorem of Harich-Chandra asserts that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We show that this result is a conse…