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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}
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  • 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
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