2013/01/03 by Tyrone Crisp, Crisp, Tyrone
Mathematics · #22E50 (Primary) 19D55 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Representation Theory (math.RT) #math.KT #math.OA #math.RT #msc:19D55 #msc:22E50
paper · pdf · doi:10.48550/arxiv.1301.0497
19 pages
openalex publication_date 2013/01/03 · arxiv created 2013/10/25 · arxiv updated 2013/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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).