当前位置: X-MOL 学术J. Algebra Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Algebraic approach to Rump’s results on relations between braces and pre-lie algebras
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-12-22 , DOI: 10.1142/s0219498822500542
Agata Smoktunowicz 1
Affiliation  

In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right -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.

中文翻译:

Rump关于大括号和前置代数之间关系的结果的代数方法

2014 年,Wolfgang Rump 证明左幂和右之间存在对应关系-大括号和预李代数。这种对应关系是使用与平面仿射流形和仿射陀螺相关的几何方法建立的,在局部有效。在本文中,我们仅使用代数公式来解释 Rump 的对应关系。对应的代数解释适用于具有足够大素数特征的域以及特征零的域。
更新日期:2020-12-22
down
wechat
bug