| PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES | |
Zhang, R. B.1; Zhang, Xiao2
| |
| 2010-06-01 | |
| 发表期刊 | REVIEWS IN MATHEMATICAL PHYSICS
 |
| ISSN | 0129-055X |
| 卷号 | 22期号:5页码:507-531 |
| 摘要 | An algebraic formulation is given for the embedded noncommutative spaces over the Moyal algebra developed in a geometric framework in [8]. We explicitly construct the projective modules corresponding to the tangent bundles of the embedded noncommutative spaces, and recover from this algebraic formulation the metric, Levi-Civita connection and related curvatures, which were introduced geometrically in [8]. Transformation rules for connections and curvatures under general coordinate changes are given. A bar involution on the Moyal algebra is discovered, and its consequences on the noncommutative differential geometry are described. |
| 关键词 | Noncommutative space projective module isometric embedding |
| DOI | 10.1142/S0129055X10004028 |
| 语种 | 英语 |
| 资助项目 | Australian Research Council ; National Science Foundation of China[10421001] ; National Science Foundation of China[10725105] ; National Science Foundation of China[10731080] ; NKBRPC[2006CB805905] ; Chinese Academy of Sciences |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Mathematical |
| WOS记录号 | WOS:000278499600002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10537 |
| 专题 | 数学所 |
| 通讯作者 | Zhang, R. B. |
| 作者单位 | 1.Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, R. B.,Zhang, Xiao. PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES[J]. REVIEWS IN MATHEMATICAL PHYSICS,2010,22(5):507-531. |
| APA | Zhang, R. B.,&Zhang, Xiao.(2010).PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES.REVIEWS IN MATHEMATICAL PHYSICS,22(5),507-531. |
| MLA | Zhang, R. B.,et al."PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES".REVIEWS IN MATHEMATICAL PHYSICS 22.5(2010):507-531. |
| 条目包含的文件 | 条目无相关文件。 | |||||
| 个性服务 |
| 推荐该条目 |
| 保存到收藏夹 |
| 查看访问统计 |
| 导出为Endnote文件 |
| 谷歌学术 |
| 谷歌学术中相似的文章 |
| [Zhang, R. B.]的文章 |
| [Zhang, Xiao]的文章 |
| 百度学术 |
| 百度学术中相似的文章 |
| [Zhang, R. B.]的文章 |
| [Zhang, Xiao]的文章 |
| 必应学术 |
| 必应学术中相似的文章 |
| [Zhang, R. B.]的文章 |
| [Zhang, Xiao]的文章 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
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。
修改评论