电邮这篇文章 Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras
- 作者: Gubarev V.Y.1,2
-
隶属关系:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- 期: 卷 58, 编号 1 (2019)
- 页面: 1-14
- 栏目: 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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详细
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.
作者简介
V. Gubarev
Sobolev Institute of Mathematics; Novosibirsk State University
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Email: wsewolod89@gmail.com
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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