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| 研究生： |
蔡佾明 Tsai, I-Ming |
|---|---|
| 論文名稱： |
bu^BSO(2n) 的代數穩定分解 The algebraic splitting of bu^BSO(2n) |
| 指導教授： |
顏東勇
Yan, Dong-Yung |
| 口試委員: |
翁秉仁
Ong, Ping-Zen 李華倫 Li, Hua-Lun 王信華 Wang, Shin-Hwa 陳正忠 Chen, Jeng-Chung |
| 學位類別： |
博士 Doctor |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2020 |
| 畢業學年度： | 109 |
| 語文別： | 英文 |
| 論文頁數： | 21 |
| 中文關鍵詞： | 穩定分解 、連通K-理論 、廣義下同調 、分類空間 、模 |
| 外文關鍵詞： | Stable splitting, connective K-theory, generalised homology, Classifying space, Modules |
| 相關次數： | 點閱：2 下載：0 |
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我們將證明bu^BSO(2n)的上同調群同構於一系列E–模的直和，E=Z/2<Q_(0),Q_(1)>, n>=2。這將會給出BSO(2n)的連通K–理論的代數穩定分解。
We show that the mod 2 cohomology of bu^BSO(2n) is isomorphic to a direct sum of E-modules, E=Z/2<Q_(0),Q_(1)>, n>=2. This would give the algebraic splitting of the complex connective K-theory of BSO(2n).
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