Maximal rank root subsystems of hyperbolic root systems

Details Maximal rank root subsystems of hyperbolic root systems Maximal rank root subsystems of hyperbolic root systems

2003-01-09

arxiv.org/abs/math/0301086v1

Mathematics

Algebraic Geometry

16 pages, 19 figures, 1 table

Scientific paper

A Kac-Moody algebra is called hyperbolic if it corresponds to a generalized
Cartan matrix of hyperbolic type. We study root subsystems of root systems of
hyperbolic algebras. In this paper, we classify maximal rank regular hyperbolic
subalgebras of hyperbolic Kac-Moody algebras.

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