论文标题
代数的方法，解决臀部与括号之间关系的结果
Algebraic approach to Rump's results on relations between braces and pre-Lie algebras
论文作者
论文摘要
2014年，Wolfgang Rump表明，左Nilpotent R-Braces和Pre-Lie代数之间存在对应关系。这种对应关系是使用与扁平仿射歧管和仿射托架相关的几何方法建立的，在本地起作用。在本文中，我们仅使用代数公式来解释Rump的对应关系。对应关系的代数解释作用于足够大的特征和特征零字段的场。
In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right R-braces and pre-Lie algebras. This correspondence, established using a geometric approach related to flat affine manifolds and affine torsors, works locally. In this paper we explain Rump's correspondence using only algebraic formulae. An algebraic interpretation of the correspondence works for fields of sufficiently large prime characteristic as well as for fields of characteristic zero.
