Triangulable $\CO_F$-analytic $({\phi }_q,\Gamma )$-modules of rank 2

Lionel Fourquaux, Bingyong Xie

The theory of $({\phi }_q,\Gamma )$-modules is a generalization of Fontaine's theory of $(\phi ,\Gamma )$-modules, which classifies $G_F$-representations on $\CO_F$-modules and $F$-vector spaces for any…