论文标题
（准）根系和超平面布置的多彩分类
A colourful classification of (quasi) root systems and hyperplane arrangements
论文作者
论文摘要
我们介绍了带有彩色边缘的一类图形，以编码经典根系的子系统，这些子系统尤其将它们分类为等效性。我们进一步使用图形来描述此类交叉点上的根（子）系统的根源相交，并限制了cartan subgebra的常规部分。我们还考虑了一个轻微的变化来编码超平面布置，这表明出现了独特的非晶格布置。最后，主要定义的变体导致封闭和Levi根子系统的基本分类。
We introduce a class of graphs with coloured edges to encode subsystems of the classical root systems, which in particular classify them up to equivalence. We further use the graphs to describe root-kernel intersections, as well as restrictions of root (sub)systems on such intersections, generalising the regular part of a Cartan subalgebra. We also consider a slight variation to encode the hyperplane arrangements only, showing there is a unique noncrystallographic arrangement that arises. Finally, a variation of the main definition leads to elementary classifications of closed and Levi root subsystems.
