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Maximal rank root subsystems of hyperbolic root systems

P. Tumarkin

math.AGarXiv:math/0301086

Abstract

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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