Poisson几何、高阶结构及其在数学物理中的应用

11471139
2014
A0110.辛几何与数学物理
生云鹤
面上项目
教授
吉林大学
75万元
高阶结构;Poisson几何;2-代数;Courant代数胚;Lie;拓扑场理论
2015-01-01到2018-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids 期刊论文 Lang Honglei;Sheng Yunhe;Xu Xiaomeng
2 A new approach to representations of 3-Lie algebras and abelian extensions 期刊论文 Liu Jifeng;Makhlouf Abdenacer;Sheng Yunhe
3 The Pontryagin class for pre-Courant algebroids 期刊论文 Liu Zhangju;Sheng Yunhe;Xu Xiaomeng
4 Symplectic, product and complex structures on 3-Lie algebras 期刊论文 Sheng Yunhe;Tang Rong
5 Nijenhuis Operators on n-Lie Algebras 期刊论文 Liu Jie-Feng;Sheng Yun-He;Zhou Yan-Qiu;Bai Cheng-Ming
6 Crossed Modules for Lie 2-Algebras 期刊论文 Lang Honglei;Lang HL
7 On non-abelian extensions of Leibniz algebras 期刊论文 Liu Jiefeng;Sheng Yunhe;Wang Qi
8 Derivation Hom-Lie 2-algebras and non-abelian extensions of regular Horn-Lie algebras 期刊论文 Song Lina;Tang Rong
9 Pre-symplectic algebroids and their applications 期刊论文 Liu Jiefeng;Sheng Yunhe;Bai Chengming
10 VB-Courant Algebroids, E-Courant Algebroids and Generalized Geometry 期刊论文 Lang Honglei;Sheng Yunhe;Wade Aissa
11 Left-symmetric algebroids 期刊论文 Jiefeng Liu;Yunhe Sheng;Chengming Bai;Zhiqi Chen
12 From Leibniz Algebras to Lie 2-algebras 期刊论文 Sheng Yunhe;Liu Zhangju
13 Purely Hom-Lie bialgebras 期刊论文 Cai Liqiang;Sheng Yunhe
14 Dirac Structures for Higher Analogues of Courant Algebroids 期刊论文 Yanhui Bi; Yunhe Sheng
15 Pre-symplectic algebroids and their applications 期刊论文 Liu Jiefeng;Sheng Yunhe;Bai Chengming
16 Integration of derivations for Lie 2-algebras 期刊论文 Honglei Lang;Zhangju Liu;Yunhe Sheng
17 3-Lie(infinity)-algebras and 3-Lie 2-algebras 期刊论文 Zhou Yanqiu;Li Yumeng;Sheng Yunhe
18 Higher extensions of Lie algebroids 期刊论文 Sheng Yunhe;Zhu Chenchang
19 Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures 期刊论文 Song Lina;Jiang Jun
20 Omni n-Lie algebras and linearization of higher analogues of Courant algebroids 期刊论文 Liu Jiefeng;Sheng Yunhe;Wang Chunyue
21 Horn-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids 期刊论文 Cai Liqiang;Liu Jiefeng;Sheng Yunhe
22 Hom-big brackets: theory and applications 期刊论文 Liqiang Cai;Yunhe Sheng
23 On Hom-Lie algebras 期刊论文 Yunhe Sheng; Zhen Xiong
24 Left-symmetric bialgebroids and their corresponding Manin triples 期刊论文 Liu Jiefeng;Sheng Yunhe;Bai Chengming
25 The First Pontryagin Class of a Quadratic Lie 2-Algebroid 期刊论文 Sheng Yunhe
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