# Loops of Lie type: a p-adic example

## TL;DR

This paper introduces an analytic loop associated with p-adic differential manifolds, connecting concepts from real differential geometry and loop theory to the p-adic setting.

## Contribution

It provides the first construction of an analytic loop in the p-adic context based on differential geometric methods.

## Key findings

- Constructed a p-adic analytic loop from differential manifolds.
- Bridged real differential geometry with p-adic loop theory.
- Laid groundwork for further p-adic loop research.

## Abstract

A survey of real differential geometry and loop theory is given in order to introduce the construction of an analytic loop associated to p-adic differential manifold.