Explicit unramified base change: \(\text{GL}(p)\) of a \(p\)-adic field

DOI10.1016/S0022-314X(02)00062-8zbMath1012.22032MaRDI QIDQ1869811

Guy Henniart, Colin J. Bushnell

Publication date: 28 April 2003

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

zbMATH Keywords

characterlocal fieldbase changeJacquet-Langlands correspondencelocal tame liftingexplicit local Langlands correspondenceShintani relation

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) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (2)

Depth-zero base change for ramified $U(2,1)$ ⋮ Depth-zero base change for unramified \(U(2,1)\)

Cites Work

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• On the Langlands-Kazhdan correspondence.
• The Langlands conjecture for \(\mathrm{GL}_2\) of a local field
• Local tame lifting for \(GL(N)\). I: Simple characters
• Explicit Jacquet-Langlands correspondence. II: The case of equal degree and residual characteristic
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Représentations cuspidales du groupe linéaire
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Davenport-Hasse relations and an explicit Langlands correspondence
• On the local Langlands conjecture in prime dimension

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