On triangulable tensor products of B-pairs and trianguline representations
Number Theory
2021-03-04 v3
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.
Cite
@article{arxiv.1906.04646,
title = {On triangulable tensor products of B-pairs and trianguline representations},
author = {Laurent Berger and Giovanni Di Matteo},
journal= {arXiv preprint arXiv:1906.04646},
year = {2021}
}
Comments
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