Arithmetic differential equations on $GL_n$, II: arithmetic Lie theory
Number Theory
2015-01-12 v2
Abstract
Motivated by the search of a concept of linearity in the theory of arithmetic differential equations we introduce here an arithmetic analogue of Lie algebras and a concept of skew arithmetic differential cocycles. We will then construct such skew cocycles, based on certain remarkable lifts of Frobenius for the classical groups . The theory for , especially on the Galois side, will be further developed in a sequel to this paper.
Cite
@article{arxiv.1308.0744,
title = {Arithmetic differential equations on $GL_n$, II: arithmetic Lie theory},
author = {Alexandru Buium and Taylor Dupuy},
journal= {arXiv preprint arXiv:1308.0744},
year = {2015}
}