Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
文献类型：期刊论文
| 作者 | Xu, XM; Lang, HL; Sheng, YH; Sheng, YH (reprint author), Jilin Univ, Dept Math, Changchun 130012, Peoples R China.; Sheng, YH (reprint author), Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China. |
| 刊名 | LETTERS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2017 |
| 卷号 | 107期号:5页码:861-885 |
| 关键词 | L-infinity-algebras Lie 2-algebras Homotopy Poisson Manifolds Courant Algebroids Symplectic Nq-manifolds Maurer-cartan Elements |
| DOI | http://dx.doi.org/10.1007/s11005-016-0925-8 |
| 英文摘要 | We study Maurer-Cartan elements on homotopy Poisson manifolds of degree n. They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as twisted Poisson manifolds, quasi-Poisson -manifolds, and twisted Courant algebroids. Using the fact that the dual of an n-term -algebra is a homotopy Poisson manifold of degree , we obtain a Courant algebroid from a 2-term -algebra via the degree 2 symplectic NQ-manifold . By integrating the Lie quasi-bialgebroid associated to the Courant algebroid, we obtain a Lie-quasi-Poisson groupoid from a 2-term -algebra, which is proposed to be the geometric structure on the dual of a Lie 2-algebra. These results lead to a construction of a new 2-term -algebra from a given one, which could produce many interesting examples. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22070]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Sheng, YH (reprint author), Jilin Univ, Dept Math, Changchun 130012, Peoples R China.; Sheng, YH (reprint author), Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Xu, XM,Lang, HL,Sheng, YH,et al. Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids[J]. LETTERS IN MATHEMATICAL PHYSICS,2017,107(5):861-885. |
| APA | Xu, XM,Lang, HL,Sheng, YH,Sheng, YH ,&Sheng, YH .(2017).Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids.LETTERS IN MATHEMATICAL PHYSICS,107(5),861-885. |
| MLA | Xu, XM,et al."Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids".LETTERS IN MATHEMATICAL PHYSICS 107.5(2017):861-885. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。