A Casselman–Shalika Formula for the Shalika Model of GLn

DOI10.4153/CJM-2006-040-6zbMath1114.22011arXivmath/0606129MaRDI QIDQ3412780

Yiannis Sakellaridis

Publication date: 2 January 2007

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606129

zbMATH Keywords

spherical functionsGelfand pairsperiodsCasselman-ShalikaShalika model

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Matrix coefficients and Iwahori-Hecke algebra modules, The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\), Local Rankin–Selberg integrals for Speh representations, A Casselman-Shalika formula for the generalized Shalika model of \(\operatorname{SO}_{4n}\)