Hyperbolic subalgebras of hyperbolic Kac-Moody algebras

Details Hyperbolic subalgebras of hyperbolic Kac-Moody algebras Hyperbolic subalgebras of hyperbolic Kac-Moody algebras

2010-12-05

arxiv.org/abs/1012.1046v1

Mathematics

Rings and Algebras

MPIM preprint; 40 pages, lots of figures

Scientific paper

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.

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