Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras
- Авторлар: Gubarev V.Y.1,2
-
Мекемелер:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Шығарылым: Том 58, № 1 (2019)
- Беттер: 1-14
- Бөлім: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234115
- DOI: https://doi.org/10.1007/s10469-019-09520-8
- ID: 234115
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Gubarev
Sobolev Institute of Mathematics; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: wsewolod89@gmail.com
Ресей, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
Қосымша файлдар
