The unreasonable effectiveness of the tensor product
Renaud Coulangeon, Gabriele Nebe
TL;DR
This paper demonstrates the extremality of a specific 72-dimensional lattice using tensor product methods, confirming its optimality in a mathematical context.
Contribution
It introduces a novel application of tensor product techniques to establish the extremality of a complex lattice structure.
Findings
Confirmed the extremality of the 72-dimensional lattice
Validated the effectiveness of tensor product methods in lattice theory
Extended previous mathematical results on unimodular lattices
Abstract
Using the Hermitian tensor product description of the extremal even unimodular lattice of dimension 72 found by Nebe in 2010 we show its extremality with the methods from Coulangeons article in Acta Arith. 2000.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic and geometric function theory · Analytic Number Theory Research