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D-modules and characters of semi-simple Lie groups

Yves Laurent·Esther Galina
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Abstract

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.

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Yves Laurent, Esther Galina. 2004-07-02. D-modules and characters of semi-simple Lie groups. https://arxiv.org/abs/math/0301295

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