On the irreducibility of locally analytic principal series representations

DOI10.1090/S1088-4165-2010-00387-8zbMath1247.22018arXivmath/0612809OpenAlexW3098617919MaRDI QIDQ3068952

Matthias Strauch, Sascha Orlik

Publication date: 21 January 2011

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612809

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Induced representations for locally compact groups (22D30)

Related Items (12)

Locally analytic socle. I. ⋮ Rigid analytic vectors of crystalline representations arising in \(p\)-adic Langlands ⋮ Homological vanishing theorems for locally analytic representations ⋮ On locally analytic Beilinson-Bernstein localization and the canonical dimension ⋮ Globally analytic principal series representation and Langlands base change ⋮ \(p\)-adic-representations of \(\text{GL}_2(L)\) and derived categories ⋮ Globally Analytic p-adic Representations of the Pro–p Iwahori Subgroup of GL(2) and Base Change, II: A Steinberg Tensor Product Theorem ⋮ On reducibility of 𝑝-adic principal series representations of 𝑝-adic groups ⋮ On Jordan-Hölder series of some locally analytic representations ⋮ Towards the locally analytical socle for \(\mathrm{GL}_n\). II ⋮ Faithfulness of generalised Verma modules for Iwasawa algebras ⋮ Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations

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