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arxiv: 1009.0060 · v1 · pith:Q2BPZ57Enew · submitted 2010-09-01 · 🧮 math.GR

Sums of Isometric Pairs of Lattices

classification 🧮 math.GR
keywords latticesisometricvariousappliedconstructingconstructiondiscussexamples
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This paper is an investigation of a procedure for constructing lattices by means of taking the sum of a pair of isometric lattices. We present various general results pertaining to this construction and discuss several examples of it applied to various well-known lattices of small rank.

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