Parahoric induction and chamber homology for SL2
Representation Theory
2013-10-28 v3 K-Theory and Homology
Operator Algebras
Abstract
We consider the special linear group G=SL2 over a p-adic field, and its diagonal subgroup M=GL1. Parabolic induction of representations from M to G induces a map in equivariant homology, from the Bruhat-Tits building of M to that of G. We compute this map at the level of chain complexes, and show that it is given by parahoric induction (as defined by J.-F. Dat).
Keywords
Cite
@article{arxiv.1301.0497,
title = {Parahoric induction and chamber homology for SL2},
author = {Tyrone Crisp},
journal= {arXiv preprint arXiv:1301.0497},
year = {2013}
}
Comments
19 pages