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Weyl groupoids of rank two and continued fractions
Published 1 Jul 2008 in math.GR and math.QA | (0807.0124v1)
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
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