Level zero types and Hecke algebras for local central simple algebras

DOI10.1006/jnth.2001.2684zbMath1009.22016OpenAlexW2004254466MaRDI QIDQ1612526

Allan J. Silberger, Ernst-Wilhelm Zink, Martin Grabitz

Publication date: 25 August 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0cc769a0fe0df205e106c6d23d7ea15a4975eb67

zbMATH Keywords

Hecke algebraslevel zero typeslocal central simple algebras

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Finite-dimensional division rings (16K20)

Related Items (7)

Depth and the Local Langlands Correspondence ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Explicit Shintani base change and the Macdonald correspondence for characters of GL\(_n(k)\) ⋮ Proof of the Tadić conjecture (U0) on the unitary dual of GL m (D) ⋮ The formal degree of the discrete series representations of \(\mathrm{GL}_m(D)\) ⋮ Représentations lisses de GLm(D)GLm(D), III : types simples ⋮ Endo-class and the Jacquet-Langlands correspondence

Cites Work

• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Tamely ramified intertwining algebras
• Jacquet functors and unrefined minimal \(K\)-types
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Mackey's Theorem for Nonunitary Representations
• Smooth representations of reductive p -ADIC groups: structure theory via types
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