Root subsystems of loop extensions
Representation Theory
2011-02-28 v1 Group Theory
Abstract
We completely classify the real root subsystems of root systems of loop algebras of Kac-Moody Lie algebras. This classification involves new notions of "admissible subgroups" of the coweight lattice of a root system , and "scaling functions" on . Our results generalise and simplify earlier work on subsystems of real affine root systems.
Keywords
Cite
@article{arxiv.1102.5131,
title = {Root subsystems of loop extensions},
author = {M. J. Dyer and G. I. Lehrer},
journal= {arXiv preprint arXiv:1102.5131},
year = {2011}
}
Comments
13 pages