Hecke algebras for tame supercuspidal types

DOI10.1353/ajm.2024.a917543arXiv2101.01873OpenAlexW4391001892WikidataQ129964194 ScholiaQ129964194MaRDI QIDQ6180403

Kazuma Ohara

Publication date: 19 January 2024

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

Full work available at URL: https://arxiv.org/abs/2101.01873

zbMATH Keywords

reductive groupHecke algebraLevi subgroupBernstein block

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

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• Weil representations associated to finite fields
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• A Satake isomorphism for representations modulo \(p\) of reductive groups over local fields
• Regular Bernstein blocks
• Depth-zero supercuspidal \(L\)-packets and their stability
• Reductive groups over a local field
• Construction of tame supercuspidal representations
• Smooth representations of reductive p -ADIC groups: structure theory via types
• On the construction of tame supercuspidal representations
• Regular supercuspidal representations

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