Journal of East China Normal University(Natural Science) >
Infinite dimensional 3-Pre-Lie algebras
Received date: 2020-10-21
Online published: 2022-03-28
Constructing 3-Pre-Lie algebras has always been a difficult problem; until now, there have been very few examples of 3-Pre-Lie algebras. In this paper, we use homogenous Rota-Baxter operators of weight zero on the infinite dimensional 3-Lie algebra
Ruipu BAI , Shan LIU . Infinite dimensional 3-Pre-Lie algebras[J]. Journal of East China Normal University(Natural Science), 2022 , 2022(2) : 1 -8 . DOI: 10.3969/j.issn.1000-5641.2022.02.001
1 | 白瑞蒲, 马越. 3-李代数 $ {{A}}_\omega ^\delta $ 的模与诱导模 . 华东师范大学学报(自然科学版), 2021, (3): 8- 16. |
2 | 白瑞蒲, 侯帅, 亢闯闯. 对合导子构造的3-李双代数与3-Pre-李代数. 数学学报(中文版), 2020, 63 (2): 123- 136. |
3 | BAI C M, GUO L, SHENG Y H. Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras. Adavances in Theoretical and Mathematical Physics, 2019, 23 (1): 27- 74. |
4 | BAI R P, GUO L, LI J Q, et al. Rota-Baxter 3-Lie algebras. Journal of Mathematical Physics, 2013, 54, 063504. |
5 | BAI R P, ZHANG Y H. Homogeneous Rota-Baxter operators on the 3-Lie algebra $A_\omega$ . Colloquium Mathematicum, 2017, 148 (2): 195- 213. |
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