# Adjoint orbits of the Jacobi group

## TL;DR

This paper investigates the structure of adjoint orbits within the Jacobi group, providing explicit descriptions of nilpotent orbits to enhance understanding of its algebraic properties.

## Contribution

It offers a detailed classification and explicit description of nilpotent adjoint orbits in the Jacobi group, a novel contribution to the understanding of its Lie algebra.

## Key findings

- Explicit classification of nilpotent orbits
- Detailed descriptions of adjoint orbits
- Enhanced understanding of Jacobi group's structure

## Abstract

In this article, we study adjoint orbits of the Jacobi group, and in particular describe nilpotent orbits explicitely.