On root systems in spaces with degenerate metric
High Energy Physics - Theory
2007-05-23 v1
Abstract
A root systems in Carroll spaces with degenerate metric are defined. It is shown that their Cartan matrices and reflection groups are affine. With the help of the geometric consideration the root system structure of affine algebras is determined by a sufficiently simple algorithm.
Keywords
Cite
@article{arxiv.hep-th/0102053,
title = {On root systems in spaces with degenerate metric},
author = {I. V. Kostyakov and N. A. Gromov and V. V. Kuratov},
journal= {arXiv preprint arXiv:hep-th/0102053},
year = {2007}
}
Comments
10 pages, Latex. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dubna (Russia)