Regularity of the D-module associated to a symmetric pair

Details Regularity of the D-module associated to a symmetric pair Regularity of the D-module associated to a symmetric pair

2003-01-25

arxiv.org/abs/math/0301296v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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