Globally Analytic p-adic Representations of the Pro–p Iwahori Subgroup of GL(2) and Base Change, II: A Steinberg Tensor Product Theorem

DOI10.1007/978-3-319-95549-0_1zbMath1456.11210OpenAlexW2735510840MaRDI QIDQ5210894

Laurent Clozel

Publication date: 16 January 2020

Published in: Cohomology of Arithmetic Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-95549-0_1

zbMATH Keywords

\(\mathrm{GL}(2)\)pro-\(p\) Iwahori subgroupanalytic \(p\)-adic representationsLangland's base changeSteinberg tensor product

Mathematics Subject Classification ID

Iwasawa theory (11R23) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Rigid analytic geometry (14G22)

Related Items (5)

Rigid analytic vectors of crystalline representations arising in \(p\)-adic Langlands ⋮ Globally analytic principal series representation and Langlands base change ⋮ Normal elements of noncommutative Iwasawa algebras over \(\mathrm{SL}_{3}(\mathbb{Z}_{p})\) ⋮ Normal elements in the mod-\(p\) Iwasawa algebra over \(\mathrm{SL}_n(\mathbb{Z}_p)\): a computational approach ⋮ Normal elements in the Iwasawa algebras of Chevalley groups

Cites Work

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• \(p\)-adic analytic groups
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• On the irreducibility of locally analytic principal series representations
• Representations of Algebraic Groups
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups

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