2004/01/20 by Dubravka Ban, Ban, Dubravka
Mathematics · #11F70 #22E50 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11F70 #msc:22E50
paper · pdf · doi:10.48550/arxiv.math/0401261
27 pages
openalex publication_date 2004/01/20 · arxiv created 2004/02/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a nontempered A-parameter ψ of SO(2n+1, F) of a certain type and the base point representation π in the A-packet of ψ. Let π be the Aubert involution of π. We compute explicitly the Langlands data of π and the A-parameter ψ of π. We investigate whether ψ and ψ are symmetric. Although symmetry holds for large classes of parameters, it does not hold in general.