Weyl groupoids of rank two and continued fractions

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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
23 pages

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Group Theory, Quantum Algebra, 20F55, 11A55, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/163947

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.0124
 http://arxiv.org/abs/0807.0124

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arXiv