Simple characters for principal orders in \(M_m(D)\)

DOI10.1016/J.JNT.2006.06.008zbMath1146.22015OpenAlexW2018690755MaRDI QIDQ996269

Martin Grabitz

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.06.008

zbMATH Keywords

representations of \(p\)-adic groupsBushnell Kutzko typesprincipal orders in local central simple algebrassimple strata and simple characters

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebras and orders, and their zeta functions (11S45)

Related Items (2)

Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Semisimple characters for inner forms. I: \(\mathrm{GL}_m (D)\)

Cites Work

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• More on embeddings of local fields in simple algebras
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• Extension Du Formalisme De Bushnell Et Kutzko Au Cas D'une Algèbre À Division
• Minimal strata for GL (m, D)
• Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras
• Pure elements and intertwining classes of simple strata in local central simple algebras
• Comparison ofGLN and Division Algebra Representations-Some Remarks on the Local Case
• Principal Orders and Embedding of Local Fields in Algebras
• Représentations lisses de $\textup {GL} (m,D)$ I : caractères simples
• Untersuchungen zur Arithmetik in lokalen einfachen Algebren, insbesondere über maximalen Teilkörpern. I.

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