On triangulable tensor products of B-pairs and trianguline representations

Laurent Berger (1) , Giovanni Di Matteo

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We show that if V and V' are two p-adic representations of Gal(Qp^alg/Qp) whose tensor product is trianguline, then V and V' are both potentially trianguline.

Domaines: Théorie des nombres [math.NT]

Laurent Berger, Giovanni Di Matteo. On triangulable tensor products of B-pairs and trianguline representations. International Journal of Number Theory, 2021, 17 (10), pp.2221--2233. ⟨10.1142/S1793042121500846⟩. ⟨hal-02153178⟩