Cycles in the chamber homology of GL(3)

2004/10/06 by Anne-Marie Aubert, Aubert, Anne-Marie, Samir Hasan +3
Mathematics · #22E50 #46L80 #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #math.KT #math.RT #msc:22E50 #msc:46L80

paper · pdf · doi:10.48550/arxiv.math/0410147

45 pages. v3: minor corrections

arxiv created 2006/04/22 · arxiv updated 2009/12/01

Abstract

Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3).

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