Universal Enveloping Lie Rota-Baxter Algebras of Pre-Lie and Post-Lie Algebras

被引：2
|
作者：
Gubarev, V. Yu. [1 ,2 ]
机构：
[1] Sobolev Inst Math, Pr Akad Koptyuga 4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Ul Pirogova 1, Novosibirsk 630090, Russia
来源：
ALGEBRA AND LOGIC | 2019年 / 58卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
pre-Lie algebra; post-Lie algebra; Rota-Baxter algebra; universal enveloping algebra; Lyndon-Shirshov word; PBW-pair of varieties; Schreier variety; partially commutative Lie algebra;
D O I：
10.1007/s10469-019-09520-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (RBLie, preLie) and (RBLie, postLie) are PBW-pairs and that the variety of Lie Rota-Baxter algebras is not a Schreier variety.
引用
收藏
页码：1 / 14
页数：14
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