Hyperbolic subalgebras of hyperbolic Kac-Moody algebras

Abstract

We investigate regular hyperbolic subalgebras of hyperbolic Kac-Moody algebras via their Weyl groups. We classify all subgroups relations between Weyl groups of hyperbolic Kac-Moody algebras, and show that for every pair of a group and subgroup their exists at least one corresponding pair of algebra and subalgebra. We also present a finite algorithm classifying all regular hyperbolic subalgebras of hyperbolic Kac-Moody algebras.

MPIM preprint; 40 pages, lots of figures

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• Reflection subgroups of Coxeter groups
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Cited by in corpus (1)

• Reflection subgroups of odd-angled Coxeter groups