Regularity of the D-module associated to a symmetric pair
classification
🧮 math.AP
math.GR
keywords
d-moduleregularsymmetricalgebraassociatedbeencaseconjecture
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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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