PreprintCC BY-SA 4.0arXiv
Lifting mod p Galois representations over local fields
Abstract
Let K be a local field with absolute Galois group GK and let k be a finite field of characteristic p. We prove that every continuous representation GK→ GLn(k) lifts to a continuous representation GK→GLn(W(k)) where W(k) is the ring of infinite Witt vectors over k.
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BibTeX
@misc{luo2026lifting,
title = {{Lifting mod $p$ Galois representations over local fields}},
author = {Yufan Luo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38581},
eprint = {2610.38581},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38581},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Lifting mod p Galois representations over local fields
AU - Yufan Luo
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38581
UR - https://arxiv.org/abs/2610.38581
AB - Let K be a local field with absolute Galois group G_K and let k be a finite field of characteristic p. We prove that every continuous representation G_K→ GL_n(k) lifts to a continuous representation G_K→GL_n(W(k)) where W(k) is the ring of infinite Witt vectors over k.
ER -