Algebraic approach to Rump's results on relations between braces and pre-Lie algebras

Autor:	Smoktunowicz, Agata
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras 17A30 17A50 16N90
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.09403 Zobrazit plný text záznamu View this record from Arxiv