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Sbornik: Mathematics, 2004, Volume 195, Issue 1, Pages 121–134
DOI: https://doi.org/10.1070/SM2004v195n01ABEH000796 (Mi sm796) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Maximum-rank root subsystems of hyperbolic root systems

P. V. Tumarkin

Independent University of Moscow
English version PDF (1734 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2004v195n01ABEH000796
Abstract: A Kac–Moody algebra is said to be hyperbolic if it corresponds to a generalized Cartan matrix of hyperbolic type. Root subsystems of root systems of algebras of this kind are studied. The main result of the paper is the classification of the maximum-rank regular hyperbolic subalgebras of hyperbolic Kac–Moody algebras.
Received: 29.11.2002
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 1, Pages 129–142
DOI: https://doi.org/10.4213/sm796
Bibliographic databases:
UDC: 512.817.72
MSC: 17B67
Language: English
Original paper language: Russian
Citation: P. V. Tumarkin, “Maximum-rank root subsystems of hyperbolic root systems”, Mat. Sb., 195:1 (2004), 129–142; Sb. Math., 195:1 (2004), 121–134
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:363
    Russian version PDF:159
    English version PDF:11
    References:60
    First page:1
     
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