Regularity of D-modules associated to a symmetric pair

@inproceedings{Laurent2002RegularityOD,
  title={Regularity of D-modules associated to a symmetric pair},
  author={Yves Laurent},
  year={2002}
}
— The invariant eigendistributions on a reductive Lie algebra are solutions of a holonomic D-module which has been proved to be regular by KashiwaraHotta. We solve here a conjecture of Sekiguchi saying that in the more general case of symmetric pairs, the corresponding module are still regular. Résumé (Régularité des D-modules associés à une paire symétrique) Sur une algèbre de Lie réductive, les distributions invariantes qui sont vecteurs propres des opérateurs différentiels bi-invariants sont… CONTINUE READING

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D-modules and characters of semisimple Lie groups

Esther Galina, Yves Laurent June
2002
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