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Subjects
22-XX Topological groups, Lie groups
22Exx Lie groups
22E50 Representations of Lie and linear algebraic groups over local fields

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Banach-Hecke algebras and $p$ -adic Galois representations.

Schneider, P., Teitelbaum, J. (2007)

Documenta Mathematica

Base change for Bernstein centers of depth zero principal series blocks

Thomas J. Haines (2012)

Annales scientifiques de l'École Normale Supérieure

Let $G$ be an unramified group over a $p$ -adic field. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for $G$ and proves the corresponding base change fundamental lemma. This result is used in the approach to Shimura varieties with $Γ_{1} (p)$ -level structure initiated by M. Rapoport and the author in [15].

Bounded generation and Kazhdan’s property $(T)$

Yehuda Shalom (1999)

Publications Mathématiques de l'IHÉS

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