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, 2013, Volume 9, 030, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.030
(Mi sigma813)
 

This article is cited in 3 scientific papers (total in 3 papers)

Pentagon Relations in Direct Sums and Grassmann Algebras

Igor G. Korepanov, Nurlan M. Sadykov

Moscow State University of Instrument Engineering and Computer Sciences, 20 Stromynka Str., Moscow 107996, Russia
Full-text PDF (412 kB) Citations (3)
References:
Abstract: We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three $n$-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic Reidemeister torsions.
Keywords: Pachner moves; pentagon relations; Grassmann algebras.
Received: December 19, 2012; in final form April 5, 2013; Published online April 10, 2013
Bibliographic databases:
Document Type: Article
MSC: 15A75; 57Q99; 57R56
Language: English
Citation: Igor G. Korepanov, Nurlan M. Sadykov, “Pentagon Relations in Direct Sums and Grassmann Algebras”, SIGMA, 9 (2013), 030, 16 pp.
Citation in format AMSBIB
\Bibitem{KorSad13}
\by Igor~G.~Korepanov, Nurlan~M.~Sadykov
\paper Pentagon Relations in Direct Sums and Grassmann Algebras
\jour SIGMA
\yr 2013
\vol 9
\papernumber 030
\totalpages 16
\mathnet{http://mi.mathnet.ru/sigma813}
\crossref{https://doi.org/10.3842/SIGMA.2013.030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3056174}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317265000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876217672}
Linking options:
  • https://www.mathnet.ru/eng/sigma813
  • https://www.mathnet.ru/eng/sigma/v9/p30
  • This publication is cited in the following 3 articles:
    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:210
    Full-text PDF :68
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024