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arXiv:math/0301295 [math.GR]AbstractReferencesReviewsResources

D-modules and characters of semi-simple Lie groups

Yves Laurent, Esther Galina

Published 2003-01-25, updated 2004-07-02Version 2

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 consequence of an algebraic property of a holonomic D-module defined by Kashiwara and Hotta.

Categories: math.GR, math.AP
Subjects: 35A27, 35D10, 17B15
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