This article is cited in 5 papers

Maximum-rank root subsystems of hyperbolic root systems

P. V. Tumarkin

Independent University of Moscow

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.

UDC: 512.817.72

MSC: 17B67

Received: 29.11.2002

DOI: 10.4213/sm796

 English version: Sbornik: Mathematics, 2004, 195:1, 121–134

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