Harmonic analysis on the Iwahori-Hecke algebra

DOI10.1007/S11537-014-1365-9zbMath1323.11028OpenAlexW1981010095MaRDI QIDQ466823

Yuval Z. Flicker

Publication date: 31 October 2014

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-014-1365-9

zbMATH Keywords

tracegenerating functionintertwining operatorstrace formsIwahori-Hecke algebraBernstein formsBernstein presentationmacdonald's spherical forms

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Jacquet functors and unrefined minimal \(K\)-types
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Geometry of second adjointness for 𝑝-adic groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Affine Hecke Algebras and Their Graded Version
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS

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