Spherical Hecke algebras of SL 2 over 2-dimensional local fields

DOI10.1353/ajm.2004.0048zbMath1099.22009OpenAlexW1974029796MaRDI QIDQ4652724

Henry H. Kim, Kyu-Hwan Lee

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1353/ajm.2004.0048

zbMATH Keywords

convolution producttwo-dimensional local fieldsspherical Hecke algebrascoset decompositionsSatake isomorphisms

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Zeta functions and (L)-functions (11S40) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Linear algebraic groups over local fields and their integers (20G25)

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Is there an analytic theory of automorphic functions for complex algebraic curves? ⋮ Analysis on arithmetic schemes. II ⋮ Integration on valuation fields over local fields ⋮ Locally convex structures on higher local fields ⋮ Zeta integrals on arithmetic surfaces

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