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Algebra i logika, 2019, Volume 58, Number 1, Pages 3–21
DOI: https://doi.org/10.33048/alglog.2019.58.101 (Mi al878) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Universal enveloping Lie Rota–Baxter algebras of pre-Lie and post-Lie algebras

V. Yu. Gubarevab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (272 kB) Citations (2)
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DOI: https://doi.org/10.33048/alglog.2019.58.101
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 (RB$_\lambda$Lie, postLie) are PBW-pairs and that the variety of Lie Rota–Baxter algebras is not a Schreier variety.
Keywords: 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.
Funding agency Grant number
Russian Science Foundation 14-21-00065
Supported by Russian Science Foundation, project No. 14-21-00065.
Received: 13.09.2017
Revised: 07.05.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 1, Pages 1–14
DOI: https://doi.org/10.1007/s10469-019-09520-8
Bibliographic databases:
Document Type: Article
UDC: 512.579
Language: Russian
Citation: V. Yu. Gubarev, “Universal enveloping Lie Rota–Baxter algebras of pre-Lie and post-Lie algebras”, Algebra Logika, 58:1 (2019), 3–21; Algebra and Logic, 58:1 (2019), 1–14
Citation in format AMSBIB
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\paper Universal enveloping Lie Rota--Baxter algebras of pre-Lie and post-Lie algebras
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\vol 58
\issue 1
\pages 3--21
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\transl
\jour Algebra and Logic
\yr 2019
\vol 58
\issue 1
\pages 1--14
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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