Supercuspidal representations of GL\(_n\): Explicit Whittaker functions

DOI10.1006/jabr.1998.7542zbMath0913.22013OpenAlexW171541042MaRDI QIDQ1272464

Guy Henniart, Colin J. Bushnell

Publication date: 30 May 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7542

zbMATH Keywords

Whittaker functionirreducible supercuspidal representationthird order \(GL_n\)

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (8)

Klingen \(\mathfrak{p}^2\) vectors for \(\text{GSp}(4)\) ⋮ Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\) ⋮ The Langlands-Shahidi method for pairs via types and covers ⋮ On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁} ⋮ Genericity of supercuspidal representations of p-adic Sp₄ ⋮ Galois self-dual cuspidal types and Asai local factors ⋮ Explicit Whittaker data for essentially tame supercuspidal representations ⋮ Towards the Jacquet conjecture on the local converse problem for \(p\)-adic \(\mathrm {GL}_n\)

Cites Work

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• The Langlands conjecture for \(\mathrm{GL}_2\) of a local field
• Local tame lifting for \(GL(N)\). I: Simple characters
• Rankin-Selberg Convolutions
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• Hereditary orders, Gauss sums and supercuspidal representations of GLN.
• Mackey's Theorem for Nonunitary Representations
• Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
• The admissible dual of ${\rm SL}(N)$. I

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