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Families of lattices with an unbounded number of unit vectors
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Families of lattices with an unbounded number of unit vectors
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Paper
Families of lattices with an unbounded number of unit vectors
2024
Overview
3 families of 4-dimensional lattices \\(L_k, M_k, M_k / 2 \\subset \\mathbb{R}^2\\) are defined. Each lattice is defined by 2 quadratic extensions and has a \\emph{finite} number of unit vectors, but the number of unit vectors in each of the 3 familes is \\emph{unbounded}. \\(L_3\\) is the Moser lattice.
Publisher
Cornell University Library, arXiv.org
Subject
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