Embedding of Pre-Lie Algebras into Preassociative Algebras

被引：0

作者：

Gubarev, Vsevolod ^{[1
]}

机构：

[1] Univ Vienna, Oskar Morgenstern Pl 1, Vienna 1090, Austria

来源：

ALGEBRA COLLOQUIUM | 2020年 / 27卷 / 02期

基金：

奥地利科学基金会;

关键词：

Rota-Baxter operator; Grobner-Shirshov basis; pre-Lie algebra; preassociative algebra (dendriform algebra); GROBNER-SHIRSHOV BASES; BAXTER; COHOMOLOGY;

D O I：

10.1142/S1005386720000243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of Rota-Baxter operators and Grobner-Shirshov bases, we prove that every pre-Lie algebra can be injectively embedded into its universal enveloping preassociative algebra.

引用

收藏

页码：299 / 310

页数：12

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