The cocenter of graded affine Hecke algebra and the density theorem

2012/08/04 by Dan Ciubotaru, Ciubotaru, Dan, Xuhua He +1
Mathematics · #20C08 #22E50 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C08 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1208.0914

26 pages, references added

arxiv created 2012/08/13 · arxiv updated 2012/08/14

Abstract

We determine a basis of the (twisted) cocenter of graded affine Hecke algebras with arbitrary parameters. In this setting, we prove that the kernel of the (twisted) trace map is the commutator subspace (Density theorem) and that the image is the space of good forms (trace Paley-Wiener theorem).

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