具有非约化商的有标记椭圆根系分类
Classification of marked elliptic root systems with non-reduced quotient
AI总结：
本文分类了商根系非约化的有标记椭圆根系对(R,G)，推广了K. Saito对商根系约化情形的分类结果。
摘要：
K. Saito (Publ. RIMS 21 (1), 1985, 75-179) 引入了一类称为椭圆根系的根系，它位于带有度量$I$的实向量空间$F$中，该度量的符号为$(l,2,0)$。他还分类了椭圆根系$R$与$I$的根的一维子空间$G$的对$(R,G)$，前提是商根系$R/G$是约化的。这里，我们分类了$R/G$非约化的对$(R,G)$。
英文摘要：
K. Saito (Publ. RIMS 21 (1), 1985, 75-179) has introduced a class of root systems called elliptic root systems which lies in the real vector space $F$ with a metric $I$ whose signature is of type $(l,2,0)$. He also classified the pair $(R,G)$ of an elliptic root system $R$ with one dimensional subspace $G$ of the radical of $I$, under the assumption that the quotient root system $R/G$ is reduced. Here, we classify the pairs $(R,G)$ where $R/G$ is non-reduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
