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- W4302799228 abstract "Let $E/F$ be a quadratic extension of $p$-adic fields and let $d$, $m$ be nonnegative integers of distinct parities. Fix admissible irreducible tempered representations $pi$ and $sigma$ of $GL_d(E)$ and $GL_m(E)$ respectively. We assume that $pi$ and $sigma$ are conjugate-dual. That is to say $pisimeq pi^{vee,c}$ and $sigmasimeq sigma^{vee,c}$) where $c$ is the non trivial $F$-automorphism of $E$. This implies, we can extend $pi$ to an unitary representation $tilde{pi}$ of a nonconnected group $GL_d(E)rtimes {1,theta}$. Define $tilde{sigma}$ the same way. We state and prove an integral formula for $epsilon(1/2,pitimes sigma,psi_E)$ involving the characters of $tilde{pi}$ and $tilde{sigma}$. This formula is related to the local Gan-Gross-Prasad conjecture for unitary groups." @default.
- W4302799228 created "2022-10-07" @default.
- W4302799228 creator A5013666885 @default.
- W4302799228 date "2012-12-05" @default.
- W4302799228 modified "2023-09-27" @default.
- W4302799228 title "Expression d'un facteur epsilon de paire par une formule int'egrale" @default.
- W4302799228 doi "https://doi.org/10.48550/arxiv.1212.1082" @default.
- W4302799228 hasPublicationYear "2012" @default.
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