1School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, P.R. China 2School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, P.R. China
Journal of Lie Theory, Tome 34 (2024) no. 4, pp. 753-772
We first introduce the notion of an extending datum of a Rota-Baxter Lie algebra through a vector space. We then construct a unified product for the Rota-Baxter Lie algebra with a vector space as a main ingredient in our approach. Finally, we solve the extending structures problem of Rota-Baxter Lie algebras, which generalizes and unifies two problems in the study of Rota-Baxter Lie algebras: the extension problem studied by Mishra-Das-Hazra and the factorization problem investigated by Lang-Sheng.
1
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, P.R. China
2
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, P.R. China
Xiaosong Peng; Yi Zhang. Extending Structures of Rota-Baxter Lie Algebras. Journal of Lie Theory, Tome 34 (2024) no. 4, pp. 753-772. http://geodesic.mathdoc.fr/item/JOLT_2024_34_4_a0/
@article{JOLT_2024_34_4_a0,
author = {Xiaosong Peng and Yi Zhang},
title = {Extending {Structures} of {Rota-Baxter} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {753--772},
year = {2024},
volume = {34},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_4_a0/}
}
TY - JOUR
AU - Xiaosong Peng
AU - Yi Zhang
TI - Extending Structures of Rota-Baxter Lie Algebras
JO - Journal of Lie Theory
PY - 2024
SP - 753
EP - 772
VL - 34
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_4_a0/
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