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Related publications (5)
Almost impossible E_8 and Leech lattices
We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...
2021Automorphisms of even unimodular lattices and equivariant Witt groups
We characterize the irreducible polynomials that occur as the characteristic polynomial of an automorphism of an even unimodular lattice of a given signature, generalizing a theorem of Gross and McMullen. As part of the proof, we give a general criterion i ...
EUROPEAN MATHEMATICAL SOC2020On vertices and facets of combinatorial 2-level polytopes
Yuri Faenza, Manuel Francesco Aprile, Alfonso Bolívar Cevallos Manzano
2-level polytopes naturally appear in several areas of mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. We investigate upper bounds on the product of the number of facets and the number ...
Springer2016