Matches in SemOpenAlex for { <https://semopenalex.org/work/W2892154967> ?p ?o ?g. }
- W2892154967 abstract "Let $F/F_{mathsf{o}}$ be a quadratic extension of non-archimedean locally compact fields of odd residual characteristic and $sigma$ be its non-trivial automorphism. We show that any $sigma$-self-dual cuspidal representation of ${rm GL}_n(F)$ contains a $sigma$-self-dual Bushnell--Kutzko type. Using such a type, we construct an explicit test vector for Flicker's local Asai $L$-function of a ${rm GL}_n(F_{mathsf{o}})$-distinguished cuspidal representation and compute the associated Asai root number. Finally, by using global methods, we compare this root number to Langlands--Shahidi's local Asai root number, and more generally we compare the corresponding epsilon factors for any cuspidal representation." @default.
- W2892154967 created "2018-09-27" @default.
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- W2892154967 date "2018-07-20" @default.
- W2892154967 modified "2023-10-14" @default.
- W2892154967 title "Galois self-dual cuspidal types and Asai local factors" @default.
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- W2892154967 doi "https://doi.org/10.48550/arxiv.1807.07755" @default.
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