Parahoric induction and chamber homology for SL2

Tyrone Crisp

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arXiv · 1301.0497

Parahoric induction and chamber homology for SL2

Tyrone Crisp

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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).

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Tyrone Crisp. 2013-10-25. Parahoric induction and chamber homology for SL2. https://arxiv.org/abs/1301.0497

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