On root systems in spaces with degenerate metric

Details On root systems in spaces with degenerate metric On root systems in spaces with degenerate metric

2001-02-09

arxiv.org/abs/hep-th/0102053v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dub

Scientific paper

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.

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