Espaces de repr\'esentations compl\`etement r\'eductibles
Group Theory
2012-04-04 v2 Metric Geometry
Representation Theory
Abstract
We study some geometric properties of actions on nonpositively curved spaces related to complete reducibility and semisimplicity, focusing on representations of a finitely generated group in the group G of rational points of a reductive group over a local field, acting on the associated space (symmetric space or affine building). We prove that the space of completely reducible classes is the maximal Hausdorff quotient space for the conjugacy action of G on the representation space.
Keywords
Cite
@article{arxiv.0906.3750,
title = {Espaces de repr\'esentations compl\`etement r\'eductibles},
author = {Anne Parreau},
journal= {arXiv preprint arXiv:0906.3750},
year = {2012}
}
Comments
15 pages