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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 78, Issue 2, Pages 447–478
DOI: https://doi.org/10.1070/SM1994v078n02ABEH003480 (Mi sm980) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integral invariant lattices in Lie algebras of type $A_{p^m-1}$

K. S. Abdukhalikov
English version PDF (1408 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1994v078n02ABEH003480
Abstract: Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type $A_{p^m-1}$ are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension $p^{2m}-1$ are distinguished.
Received: 03.03.1992
Russian version:
Matematicheskii Sbornik, 1993, Volume 184, Number 4, Pages 61–104
Bibliographic databases:
UDC: 512.54+512.554
MSC: 17B05, 17B20
Language: English
Original paper language: Russian
Citation: K. S. Abdukhalikov, “Integral invariant lattices in Lie algebras of type $A_{p^m-1}$”, Mat. Sb., 184:4 (1993), 61–104; Russian Acad. Sci. Sb. Math., 78:2 (1994), 447–478
Citation in format AMSBIB
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\by K.~S.~Abdukhalikov
\paper Integral invariant lattices in Lie algebras of type $A_{p^m-1}$
\jour Mat. Sb.
\yr 1993
\vol 184
\issue 4
\pages 61--104
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1225979}
\zmath{https://zbmath.org/?q=an:0819.17008}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 78
\issue 2
\pages 447--478
\crossref{https://doi.org/10.1070/SM1994v078n02ABEH003480}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PD76700012}
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  • https://doi.org/10.1070/SM1994v078n02ABEH003480
  • https://www.mathnet.ru/eng/sm/v184/i4/p61
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:246
    Russian version PDF:96
    English version PDF:14
    References:38
    First page:1
     
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