Distinction of the Steinberg representation
Representation Theory
2012-08-28 v2 Number Theory
Abstract
We prove Dipendra Prasad's conjecture on the distinction of the Steinberg representation for symmetric spaces of the form G(E)/G(F), where G is a split reductive group defined over F and E/F an unramified quadratic extension of non-archimedean local fields.
Cite
@article{arxiv.1208.3332,
title = {Distinction of the Steinberg representation},
author = {Paul Broussous and Francois Courtes},
journal= {arXiv preprint arXiv:1208.3332},
year = {2012}
}
Comments
Revised version, 17 pages. An appendix by Francois Courtes