Regular subalgebras of affine Kac-Moody algebras
Rings and Algebras
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
We classify regular subalgebras of affine Kac-Moody algebras in terms of their root systems. In the process, we establish that a root system of a subalgebra is always an intersection of the root system of the algebra with a sublattice of its root lattice. We also discuss applications to investigations of regular subalgebras of hyperbolic Kac-Moody algebras and conformally invariant subalgebras of affine Kac-Moody algebras.
Keywords
Cite
@article{arxiv.0807.3986,
title = {Regular subalgebras of affine Kac-Moody algebras},
author = {Anna Felikson and Alexander Retakh and Pavel Tumarkin},
journal= {arXiv preprint arXiv:0807.3986},
year = {2009}
}
Comments
To appear in Journal of Physics A