D-modules and characters of semi-simple Lie groups

Details D-modules and characters of semi-simple Lie groups D-modules and characters of semi-simple Lie groups

2003-01-25

arxiv.org/abs/math/0301295v2

Mathematics

Group Theory

Scientific paper

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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