Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 027, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.027 (Mi sigma1710) 		 
From Orthocomplementations to Locality

Pierre Claviera, Li Guob, Sylvie Paychaac, Bin Zhangd

a Institute of Mathematics, University of Potsdam, D-14476 Potsdam, Germany
b Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, USA
c Université Clermont-Auvergne, Clermont-Ferrand, France
d School of Mathematics, Yangtze Center of Mathematics, Sichuan University, Chengdu, 610064, China
Full-text PDF (437 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2021.027
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.
Keywords: locality, lattice, poset, orthocomplementation, renormalisation.
Funding agency Grant number
National Natural Science Foundation of China 11771190
11821001
11890663
This work is supported by Natural Science Foundation of China (Grant Nos. 11771190, 11821001, 11890663).
Received: July 6, 2020; in final form March 2, 2021; Published online March 22, 2021
Bibliographic databases:
Document Type: Article
MSC: 06C15, 08A55, 81T15, 15A63
Language: English
Citation: Pierre Clavier, Li Guo, Sylvie Paycha, Bin Zhang, “From Orthocomplementations to Locality”, SIGMA, 17 (2021), 027, 23 pp.
Citation in format AMSBIB
\Bibitem{ClaGuoPay21}
\by Pierre~Clavier, Li~Guo, Sylvie~Paycha, Bin~Zhang
\paper From Orthocomplementations to Locality
\jour SIGMA
\yr 2021
\vol 17
\papernumber 027
\totalpages 23
\mathnet{http://mi.mathnet.ru/sigma1710}
\crossref{https://doi.org/10.3842/SIGMA.2021.027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000641901100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104310952}
Linking options:
  • https://www.mathnet.ru/eng/sigma1710
  • https://www.mathnet.ru/eng/sigma/v17/p27
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:90
    Full-text PDF :18
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024