From Orthocomplementations to Locality

Pierre Clavier   ; Li Guo   ; Sylvie Paycha   ; Bin Zhang

Symmetry, integrability and geometry: methods and applications, Tome 17 (2021)

Résumé

After some background on lattices, the locality framework introduced in earlier work by the authors is extended to cover posets and lattices. We then extend the correspondence between Euclidean structures on vector spaces and orthogonal complementations to a one-one correspondence between a class of locality structures and orthocomplementations on bounded lattices. This recasts in the context of renormalisation classical results in lattice theory.

Détail

Keywords: locality, lattice, poset
Mots-clés : orthocomplementation, renormalisation.

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