Abstract
We present a relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two. This allows one 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.
Citation
Michael Cuntz. István Heckenberger. "Weyl groupoids of rank two and continued fractions." Algebra Number Theory 3 (3) 317 - 340, 2009. https://doi.org/10.2140/ant.2009.3.317
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