2006/06/06 by Yiannis Sakellaridis, Sakellaridis, Yiannis
Mathematics · #11F70 #11F85 (Secondary) #22E50 (Primary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11F70 #msc:11F85 #msc:22E50
paper · pdf · doi:10.48550/arxiv.math/0606129
23 pages. Accepted for publication in the Canadian Journal of Mathematics
arxiv created 2006/06/06 · openalex publication_date 2006/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Casselman-Shalika method is a way to compute explicit formulas for periods of irreducible unramified representations of p-adic groups that are associated to unique models (i.e. multiplicity-free induced representations). We apply this method to the case of the Shalika model of GLn, which is known to distinguish lifts from odd orthogonal groups. In the course of our proof, we further develop a variant of the method, that was introduced by Y.Hironaka, and in effect reduce many such problems to straightforward calculations on the group.