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Classification of lattice-regular lattice convex polytopes.

Karpenkov, Oleg (2006), Classification of lattice-regular lattice convex polytopes., Functional Analysis and Other Mathematics, 1, 1, p. 17-35. http://dx.doi.org/10.1007/s11853-007-0002-z

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Type
Article accepté pour publication ou publié
Date
2006
Journal name
Functional Analysis and Other Mathematics
Volume
1
Number
1
Publisher
Springer
Pages
17-35
Publication identifier
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Author(s)
Karpenkov, Oleg
Abstract (EN)
We completely describe lattice convex polytopes in ℝ n (for any dimension n) that are regular with respect to the group of affine transformations preserving the lattice.
Subjects / Keywords
Integer lattice; Convex hulls; Regular polytopes; Lattice-affine group