Cartier duality for $(\phi, \hat{G})$-modules

TL;DR

This paper establishes Cartier duality for $(, hatG)$-modules, a key step in understanding the structure of semistable Galois representations in number theory.

Contribution

It proves the Cartier duality for $(, hatG)$-modules, extending the theoretical framework for classifying semistable Galois representations.

Findings

Cartier duality holds for $(, hatG)$-modules

Enhances understanding of Galois representation classification

Provides a duality framework for semistable representations

Abstract

In this paper, we prove the Cartier duality for $(\phi, \hat{G})$-modules which are defined by Tong Liu to classify semistable Galois representations.