From orthocomplementations to locality
Rings and Algebras
2021-04-01 v4
Abstract
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.
Cite
@article{arxiv.2007.03003,
title = {From orthocomplementations to locality},
author = {Pierre Clavier and Li Guo and Sylvie Paycha and Bin Zhang},
journal= {arXiv preprint arXiv:2007.03003},
year = {2021}
}
Comments
22 pages, 2 figures. Matches the version published in the special issue of SIGMA in honour of Giovanni Landi