Geodesic
On representations of the Weil--Deligne group
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2008), pp. 48-52

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We study admissible orthogonal and symplectic representations of the Weil–Deligne group $\mathcal{W}'(\overline K/K)$ of a local non-Archimedean field $K$. As an application of the obtained results we show that the root number of the tensor product of two admissible symplectic representations of $\mathcal{W}'(\overline K/K)$ is 1. 
@article{IVM_2008_2_a6,
     author = {M. N. Sabitova},
     title = {On representations of the {Weil--Deligne} group},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {48--52},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_2_a6/}
}
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M. N. Sabitova. On representations of the Weil--Deligne group. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2008), pp. 48-52. http://geodesic.mathdoc.fr/item/IVM_2008_2_a6/