# On triangulable tensor products of B-pairs and trianguline representations

## TL;DR

This paper proves that if the tensor product of two p-adic Galois representations is trianguline, then each representation is potentially trianguline, advancing understanding of the structure of p-adic representations.

## Contribution

It establishes a new criterion linking the trianguline property of tensor products to the potential triangulinity of individual p-adic representations.

## Key findings

- Tensor product of two representations being trianguline implies each is potentially trianguline.
- Provides new insights into the structure of p-adic Galois representations.
- Advances the theory of trianguline representations in p-adic Hodge theory.

## 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.