PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES
文献类型：期刊论文
| 作者 | Zhang, R. B.1; Zhang, Xiao2
|
| 刊名 | REVIEWS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 22期号:5页码:507-531 |
| 关键词 | Noncommutative space projective module isometric embedding |
| ISSN号 | 0129-055X |
| DOI | 10.1142/S0129055X10004028 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000278499600002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10536]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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