From Orthocomplementations to Locality

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Clavier, Pierre, Guo, Li, Paycha, Sylvie, Zhang, Bin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211322
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Orthocomplementations to Locality. Pierre Clavier, Li Guo, Sylvie Paycha and Bin Zhang. SIGMA 17 (2021), 027, 23 pages

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-to-one correspondence between a class...