前李代数在前结合代数中的嵌入
环与代数
2022-01-25 v2
摘要
借助 Rota-Baxter 算子与 Groebner-Shirshov 基，我们证明任意前李代数均可单射地嵌入其泛包络前结合代数中。
引用
@article{arxiv.1808.09822,
title = {Embedding of pre-Lie algebras into preassociative algebras},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1808.09822},
year = {2022}
}
备注
v2: 12 p., more detailed and accurate proof of main theorem. arXiv admin note: substantial text overlap with arXiv:1808.08839