Email this article Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras
- Authors: Gubarev V.Y.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 58, No 1 (2019)
- Pages: 1-14
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234115
- DOI: https://doi.org/10.1007/s10469-019-09520-8
- ID: 234115
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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.
About the authors
V. Yu. Gubarev
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: wsewolod89@gmail.com
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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