Dimensions of some locally analytic representations

DOI10.1090/ert/475zbMath1397.22016arXiv1409.7998OpenAlexW2964193024MaRDI QIDQ2792394

Matthias Strauch, Tobias Schmidt

Publication date: 9 March 2016

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

Full work available at URL: https://arxiv.org/abs/1409.7998

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Representations of Lie and linear algebraic groups over local fields (22E50) (p)-adic theory (11E95) Universal enveloping algebras of Lie algebras (16S30)

Related Items (9)

PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES ⋮ ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG ⋮ LOCALLY ANALYTIC REPRESENTATIONS OF VIA SEMISTABLE MODELS OF ⋮ The Fontaine-Mazur conjecture in the residually reducible case ⋮ Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence ⋮ A canonical dimension estimate for non-split semisimple 𝑝-adic Lie groups ⋮ From category \(\mathcal{O}^{\infty}\) to locally analytic representations ⋮ A local model for the trianguline variety and applications ⋮ -modules on rigid analytic spaces III: weak holonomicity and operations

Cites Work

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• On irreducible representations of compact \(p\)-adic analytic groups
• The image of Colmez's Montreal functor
• Infinitesimal actions in the \(p\)-adic local Langlands correspondence
• Equivariant vector bundles on Drinfeld's upper half space
• Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism
• Algebras of \(p\)-adic distributions and admissible representations
• Banach space representations and Iwasawa theory
• Zariskian filtrations
• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• Lifting Ore sets of Noetherian filtered rings and applications
• Stable flatness of nonarchimedean hyperenveloping algebras
• Ring-theoretic properties of Iwasawa algebras: a survey.
• On locally analytic Beilinson-Bernstein localization and the canonical dimension
• Verma modules over \(p\)-adic Arens-Michael envelopes of reductive Lie algebras
• The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• Locally analytic vectors of unitary principal series of ${\mathrm{GL}}_2({\mathbb{Q}}_p)$
• Admissible unitary completions of locally ℚ_{𝕡}-rational representations of 𝔾𝕃₂(𝔽)
• Analytic vectors in continuousp-adic representations
• Some properties of non-commutative regular graded rings
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• Duality for admissible locally analytic representations
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• Auslander Regularity of 𝑝-adic Distribution Algebras
• On Jordan-Hölder series of some locally analytic representations
• Differential Forms on General Commutative Algebras

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