D-modules and characters of semi-simple Lie groups
Group Theory
2007-05-23 v2 Analysis of PDEs
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.
Cite
@article{arxiv.math/0301295,
title = {D-modules and characters of semi-simple Lie groups},
author = {Yves Laurent and Esther Galina},
journal= {arXiv preprint arXiv:math/0301295},
year = {2007}
}