Cohomological properties of the smooth globalization of a Harish-Chandra module
Representation Theory
2008-02-03 v1 Differential Geometry
Abstract
We prove the finiteness of the cohomology of torsion-free lattices in a semisimple Lie group of real rank one with coefficients in the distribution vector globalization of Harish-Chandra modules. The cohomology is expressed in terms of automorphic and cusp forms. We also consider the Lie-algebra cohomology of these globalizations for the nilpotent part of the Iwasawa decomposition of the group.
Keywords
Cite
@article{arxiv.math/9508203,
title = {Cohomological properties of the smooth globalization of a Harish-Chandra module},
author = {U. Bunke and M. Olbrich},
journal= {arXiv preprint arXiv:math/9508203},
year = {2008}
}
Comments
32 pages, Latex