Zapiski Nauchnykh Seminarov LOMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 116, Pages 44–55 (Mi znsl1749)  
This article is cited in 6 scientific papers (total in 6 papers)

Even unimodular Euclidean lattices in dimension 32

B. B. Venkov
Full-text PDF (1029 kB) Citations (6)
Abstract: We study even unimodular Euclidean lattices in dimension 32 with small root systems. It is shown that such lattices are generated by the vectors $\nu$ with $(\nu,\nu)\leqslant4$. For lattices without roots we obtain special properties of the configuration of minimal vectors which are reminiscent of strongly regular graphs.
English version:
Journal of Soviet Mathematics, 1984, Volume 26, Issue 3, Pages 1860–1867
DOI: https://doi.org/10.1007/BF01670570
Bibliographic databases:
UDC: 511.44
Language: Russian
Citation: B. B. Venkov, “Even unimodular Euclidean lattices in dimension 32”, Integral lattices and finite linear groups, Zap. Nauchn. Sem. LOMI, 116, "Nauka", Leningrad. Otdel., Leningrad, 1982, 44–55; J. Soviet Math., 26:3 (1984), 1860–1867
Citation in format AMSBIB
\Bibitem{Ven82}
\by B.~B.~Venkov
\paper Even unimodular Euclidean lattices in dimension~32
\inbook Integral lattices and finite linear groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 116
\pages 44--55
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=687838}
\zmath{https://zbmath.org/?q=an:0538.10017|0506.10015}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 26
\issue 3
\pages 1860--1867
\crossref{https://doi.org/10.1007/BF01670570}
Linking options:
  • https://www.mathnet.ru/eng/znsl1749
  • https://www.mathnet.ru/eng/znsl/v116/p44
    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:191
    Full-text PDF :81
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024