@article{21e617601fb048e2af2c30593e269cf1,
title = "Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras",
abstract = "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 (RBλLie, postLie) are PBW-pairs and that the variety of Lie Rota–Baxter algebras is not a Schreier variety.",
keywords = "Lyndon–Shirshov word, partially commutative Lie algebra, PBW-pair of varieties, post-Lie algebra, pre-Lie algebra, Rota–Baxter algebra, Schreier variety, universal enveloping algebra, Rota-Baxter algebra, Lyndon-Shirshov word",
author = "Gubarev, {V. Yu}",
year = "2019",
month = mar,
day = "15",
doi = "10.1007/s10469-019-09520-8",
language = "English",
volume = "58",
pages = "1--14",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "1",
}