Maximal rank root subsystems of hyperbolic root systems

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.

16 pages, 19 figures, 1 table

References in corpus (2)

• Coxeter Decompositions of Hyperbolic Tetrahedra
• Coxeter decompositions of hyperbolic simplices

Cited by in corpus (3)

• Regular subalgebras of affine Kac-Moody algebras
• Hyperbolic subalgebras of hyperbolic Kac-Moody algebras
• Reflection subgroups of odd-angled Coxeter groups