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Where can I find a complete classification of the $l$-adic Weil-Deligne representations for a local field $F$ of residual characteristic $p$ (with $p$ different from $l$)? Thanks.

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1 Answer 1

up vote 4 down vote accepted

Here are the references:

D. Rohrlich. Elliptic curves and the Weil-Deligne group. Elliptic curves and related topics, 125{157, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994.

or

J. Tate, Number theoretic background.

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