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unimodular lattice (Definition)

A lattice $L$ in $\mathbb{R}^n$ is unimodular if a fundamental domain of $L$ has volume 1. This is equivalent to $L$ being unimodular as a $\mathbb{Z}$ -module with the bilinear form induced from $\mathbb{R}^n$ .




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Cross-references: bilinear form, volume, unimodular, lattice
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This is version 1 of unimodular lattice, born on 2009-01-12.
Object id is 11492, canonical name is UnimodularLattice.
Accessed 246 times total.

Classification:
AMS MSC11H06 (Number theory :: Geometry of numbers :: Lattices and convex bodies)

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