Embedding theory of lattices and its application for $2$-integrable lattices

zbMath1505.11098arXiv2104.04177MaRDI QIDQ5095317

Qianqian Yang, Kiyoto Yoshino

Publication date: 8 August 2022

Full work available at URL: https://arxiv.org/abs/2104.04177

zbMATH Keywords

unimodular latticepositive definite latticeeutactic star\( s \)-integrable latticeembedding of a lattice

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Quadratic forms over local rings and fields (11E08)

Uses Software

• Magma

Cites Work

• Additively indecomposable positive integral quadratic forms
• The Magma algebra system. I: The user language
• Solving \(XX^{tr}=A\) over the integers
• Lattices and Codes
• Low-dimensional lattices V. Integral coordinates for integral lattices
• Low-dimensional lattices. I. Quadratic forms of small determinant
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