Affine Spinor Decomposition in Three-Dimensional Affine Geometry
文献类型：期刊论文
| 作者 | Wu, Chengran1; Li, Hongbo2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2022-08-30 |
| 页码 | 35 |
| 关键词 | spin group spinor decomposition affine transformation line geometry affine line reflection |
| ISSN号 | 0252-9602 |
| DOI | 10.1007/s10473-022-0607-9 |
| 英文摘要 | Spin group and screw algebra, as extensions of quaternions and vector algebra, respectively, have important applications in geometry, physics and engineering. In three-dimensional projective geometry, when acting on lines, each projective transformation can be decomposed into at most three harmonic projective reflections with respect to projective lines, or equivalently, each projective spinor can be decomposed into at most three orthogonal Minkowski bispinors, each inducing a harmonic projective line reflection. In this paper, we establish the corresponding result for three-dimensional affine geometry: with each affine transformation is found a minimal decomposition into general affine reflections, where the number of general affine reflections is at most three; equivalently, each affine spinor can be decomposed into at most three affine Minkowski bispinors, each inducing a general affine line reflection. |
| 资助项目 | National Key Research and Development Project[2020YFA0712300] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000847649200008 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61056]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Hongbo |
| 作者单位 | 1.Acad Math & Syst Sci, Chinese Acad Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Chengran,Li, Hongbo. Affine Spinor Decomposition in Three-Dimensional Affine Geometry[J]. ACTA MATHEMATICA SCIENTIA,2022:35. |
| APA | Wu, Chengran,&Li, Hongbo.(2022).Affine Spinor Decomposition in Three-Dimensional Affine Geometry.ACTA MATHEMATICA SCIENTIA,35. |
| MLA | Wu, Chengran,et al."Affine Spinor Decomposition in Three-Dimensional Affine Geometry".ACTA MATHEMATICA SCIENTIA (2022):35. |
入库方式： OAI收割
来源：数学与系统科学研究院
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