Regularity of the D-module associated to a symmetric pair
Analysis of PDEs
2007-05-23 v1 Group Theory
Abstract
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 of Sekiguchi saying that in the more general case of symmetric pairs, the corresponding module are still regular.
Cite
@article{arxiv.math/0301296,
title = {Regularity of the D-module associated to a symmetric pair},
author = {Yves Laurent},
journal= {arXiv preprint arXiv:math/0301296},
year = {2007}
}