A Hecke algebra isomorphism over close local fields

DOI10.2140/pjm.2022.319.307zbMath1503.22018arXiv2103.12363OpenAlexW3136547564WikidataQ114045231 ScholiaQ114045231MaRDI QIDQ2093207

Radhika Ganapathy

Publication date: 7 November 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12363

zbMATH Keywords

Hecke algebraclose local fields

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Representations of groups over close local fields
• Congruences of parahoric group schemes
• Lifting of elements of Weyl groups
• The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\)
• Depth-zero supercuspidal \(L\)-packets and their stability
• Galois-Kohomologie halb einfacher algebraischer Gruppen über \(p\)-adischen Körpern. I, II
• Reductive groups over a local field
• The local Langlands correspondence for GSp4 over local function fields
• The Satake isomorphism for special maximal parahoric Hecke algebras
• Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle
• The Bernstein Presentation for general connected reductive groups
• ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS
• Generic representations of \(\text{GL}_N\) and near local fields.
• Congruences of Néron models for tori and the Artin conductor
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