Some remarks on representations of a division algebra and of the Galois group of a local field

DOI10.1006/jnth.1998.2289zbMath0931.11054OpenAlexW2127947002MaRDI QIDQ1284200

Dipendra Prasad

Publication date: 26 May 1999

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

Full work available at URL: https://semanticscholar.org/paper/646628b49c41d493e280bb5f7966bbc5353de20e

zbMATH Keywords

division algebraWeil-Deligne grouporthogonal representationmultiplicity one theoremsymplectic representationShalika model

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

Unnamed Item, Distinction of the Steinberg representation and a conjecture of Prasad and Takloo-Bighash, The set of local \(A\)-packets containing a given representation, Multiplicity one for the pair \((\mathrm{GL}_n (D), \mathrm{GL}_n (E))\), On Swan exponents of symmetric and exterior square Galois representations, The local Langlands conjecture for \(\text{GSp}(4)\), Self-dual cuspidal representations, Bessel models for GSp(4), On linear periods, On the self-dual representations of finite groups of Lie type, Kirillov theory for \(GL_2 ({\mathcal D})\) where \({\mathcal D}\) is a division algebra over a non-Archimedean local field

Cites Work

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