A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility condit...A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.展开更多
文摘A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.
基金国家自然科学基金项目(42362023)陕西省教育厅青年创新团队项目(24JP217,22RCYPJB0103)+2 种基金榆林市青年科技新星项目(2024-KJZG-QNXX-007)陕西省科技厅项目(2025JC-YBQN-456,2025JC-YBMS-452)中国科学院洁净能源创新研究院-榆林学院联合基金项目(YLU-DNL Fund 2022012)。
