Delaunay and Voronoi polytopes of the root lattice \(E_{7}\) and of the dual lattice \(E^\ast_{7}\)

DOI10.1134/S0081543811080049zbMath1314.52012WikidataQ56001785 ScholiaQ56001785MaRDI QIDQ741165

Viatcheslav Grishukhin

Publication date: 10 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Voronoi polytopesDelaunay polytope

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items (2)

Parallelohedra defined by quadratic forms ⋮ Lifting of parallelohedra

Cites Work

• Properties of faces of parallelohedra
• The perfect lattices \(\Gamma ({\mathfrak A}^ n)\), and the covering density of \(\Gamma ({\mathfrak A}^ 9)\)
• The Voronoi Region of $E_7^*$
• Low-dimensional lattices. II. Subgroups ofGL(n, ℤ)
• Extreme Forms
• Geometry of cuts and metrics
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