On the correspondence of representations between 𝐺𝐿(𝑛) and division algebras

DOI10.1090/S0002-9939-02-06918-6zbMath1027.22017OpenAlexW1822231104MaRDI QIDQ4791512

A. Raghuram, Joshua M. Lansky

Publication date: 28 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06918-6

zbMATH Keywords

conductordivision algebrasupercuspidal representationBushnell-Fröhlich formulaDeligne-Kazhdan-Vigneras-Rogawski correspondence

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

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Cites Work

• Unnamed Item
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• Representations of \(GL(n)\) and division algebras over a p-adic field
• On the local Langlands conjecture for GL(n): the cyclic case
• Conducteur des représentations du groupe linéaire
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Local tame lifting for \(GL(N)\). I: Simple characters
• Kirillov theory for \(GL_2 ({\mathcal D})\) where \({\mathcal D}\) is a division algebra over a non-Archimedean local field
• Jacquet functors and unrefined minimal \(K\)-types
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• Zeta functions of simple algebras
• Non-Abelian Congruence Gauss Sums and _p -Adic Simple Algebras
• Hereditary orders, Gauss sums and supercuspidal representations of GLN.
• Zur Korrespondenz von Darstellungen der Galoisgruppen und der zentralen Divisionsalgebren über lokalen Körpern (Der zahme Fall)