Weyl groupoids of rank two and continued fractions
Group Theory
2008-07-02 v1 Quantum Algebra
Abstract
A relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two is found. This allows to decide easily if a given Cartan scheme of rank two admits a finite root system. We obtain obstructions and sharp bounds for the entries of the Cartan matrices. Key words: Cartan matrix, continued fraction, Nichols algebra, Weyl groupoid
Keywords
Cite
@article{arxiv.0807.0124,
title = {Weyl groupoids of rank two and continued fractions},
author = {M. Cuntz and I. Heckenberger},
journal= {arXiv preprint arXiv:0807.0124},
year = {2008}
}
Comments
23 pages