Generation of isometries of certain \(\mathbb{Z}\)-lattices by symmetries

DOI10.1006/jnth.1999.2497zbMath0948.11018OpenAlexW2029917798MaRDI QIDQ1573779

Myung-Hwan Kim, Byeong-Kweon Oh

Publication date: 9 August 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2497

zbMATH Keywords

isometriesquadratic latticesprimal lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12)

Related Items (1)

Quaternary even positive definite quadratic forms of discriminant \(4p\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the maximal dimension of Lorentz lattices with cofinite reflection group
• Theta series of ternary and quaternary quadratic forms
• Reflective integral lattices
• Representation by quadratic forms in a finite field
• Theta series of quaternary quadratic forms over Z and Z[(1 + √p)/2]
• Low-dimensional lattices. I. Quadratic forms of small determinant
• Low-dimensional lattices. II. Subgroups ofGL(n, ℤ)
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Zur Klassifikation unimodularer Gitter mit Isometrie von Primzahlordnung.
• Unimodular Lattices with Isometries of Large Prime Order II
• Two theorems on the class number of positive definite quadratic forms
• Quaternary even positive definite quadratic forms of prime discriminant
• Finite rational matrix groups
• Notes on Sphere Packings
• A Group of Order 8,315,553,613,086,720,000
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS

This page was built for publication: Generation of isometries of certain \(\mathbb{Z}\)-lattices by symmetries