A geometric construction of types for the smooth representations of PGL(2) of a local field

2012/03/26 by Paul Broussous, Broussous, Paul
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT) #math.GR #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1203.5661

arxiv created 2012/03/26 · arxiv updated 2012/03/27

Abstract

We show that almost all (Bushnell and Kutzko) types of PGL(2,F), F a non-Archimedean locally compact field of odd residue characteristic, naturally appear in the cohomology of finite graphs.

Related

• Representations of PGL(2) of a local field and harmonic forms on simplicial complexes
• Types modulo ℓ pour les formes intérieures de GL_n sur un corps local non archimédien
• Generic smooth representations
• Types for tame p-adic groups
• Unicity of types for supercuspidals