Hyperbolic subalgebras of hyperbolic Kac-Moody algebras
Rings and Algebras
2019-10-25 v1 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1012.1046,
title = {Hyperbolic subalgebras of hyperbolic Kac-Moody algebras},
author = {Anna Felikson and Pavel Tumarkin},
journal= {arXiv preprint arXiv:1012.1046},
year = {2019}
}
Comments
MPIM preprint; 40 pages, lots of figures