Weyl groupoids of rank two and continued fractions
Weyl groupoids of rank two and continued fractions
复制标题
二阶 Weyl 群群和连分数
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
I. Heckenberger
中科院分区：
文献类型：
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作者：
M. Cuntz;I. Heckenberger
给出了连分数与二秩Cartan概型的Weyl群胚之间的关系，从而可以很容易地判定给定的二秩Cartan概型是否存在有限根系.我们得到的障碍和尖锐的界限的Cartan矩阵的条目。
关键词：嘉当矩阵，连分数，尼科尔斯代数，Weyl广群
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