On triangulable tensor products of B-pairs and trianguline representations

Abstract

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.

v3. Almost final version; some additional clarifications. To appear in the International Journal of Number Theory. v2: The definition of Delta-triangulable has been corrected. Other minor corrections and clarifications