Well-rounded ideal lattices from totally definite quaternion algebras

TL;DR

This paper investigates the properties and classifications of well-rounded ideal lattices derived from totally definite quaternion algebras, providing theoretical results and illustrative examples.

Contribution

It offers new existence and classification results for well-rounded ideal lattices from quaternion algebras, advancing understanding in this mathematical area.

Findings

Proved existence of well-rounded ideal lattices

Classified types of such lattices

Provided illustrative examples

Abstract

We study well-rounded ideal lattices from totally definite quaternion algebras. We prove existence and classification results, and illustrate our methods with examples.