Well-rounded ideal lattices from totally definite quaternion algebras

2025/12/03 by Chew, Yuan Xiang, Oggier, Frédérique
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2512.03909

Abstract

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

Citations

• A New Bound for the Orthogonality Defect of HKZ Reduced Lattices

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