Stable vectors in Moy–Prasad filtrations

DOI10.1112/S0010437X16008228zbMath1373.22024arXiv1510.00357MaRDI QIDQ5360272

Beth Romano, Jessica Fintzen

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00357

zbMATH Keywords

supercuspidal representationsstable vectorsMoy-Prasad filtration

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Linear algebraic groups over local fields and their integers (20G25)

Related Items (3)

On the Moy-Prasad filtration ⋮ Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization ⋮ Types for tame \(p\)-adic groups

Cites Work

• Arithmetic invariants of discrete Langlands parameters
• Elementary abelian p-subgroups of algebraic groups
• Epipelagic \(L\)-packets and rectifying characters
• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Stability of projective varieties
• Refined anisotropic \(K\)-types and supercuspidal representations
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Jacquet functors and unrefined minimal \(K\)-types
• Gradings of positive rank on simple Lie algebras
• Construction of tame supercuspidal representations
• Supercuspidal representations: An exhaustion theorem
• Epipelagic representations and invariant theory
• Formal degrees and adjoint 𝛾-factors
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