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作者(中文):翁御哲
作者(外文):Wong, Yu Jhe
論文名稱(中文):Algebraic splitting of cohomology of BSO(7)
論文名稱(外文):BSO(7)之上同調之代數分解
指導教授(中文):顏東勇
指導教授(外文):Yan, Dung Yung
口試委員(中文):王信華
李華倫
口試委員(外文):Wang, Shin Hwa
Li, Hua Lun
學位類別:碩士
校院名稱:國立清華大學
系所名稱:數學系
學號:103021512
出版年(民國):105
畢業學年度:104
語文別:英文
論文頁數:15
中文關鍵詞:代數分解上同調K理論
外文關鍵詞:algebraic splittingcohomologycomplex connective K theory
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我們展示了BSO(7)的上同調跟D與M的直和同構,其中D是一個平凡E模,且M會跟一個自由E模同構。
We show that (H^* ) ̃(BSO(7)) is isomorphic to D^*⊕M, where D^* is a trivial E-module and M is isomorphic to a free E-module.
Abstract........................i
1 Introduction..................1
2 The proof of Theorm 1.1.......3
Reference......................14
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[12] T. H.Wu, Stable splittings of the complex connective K-theory of BSO(2n+1), preprint.
[13] W. T. Wu, Classes caracteristiques et i-carres ^dune variete, Comptes Rendus, 230(1950), 508-511.
[14] D. Y. Yan, The Brown-Peterson homology of the classifying spaces BO and BO(n), Journal of Pure and Applied Algebra 102(1995), 221-233.
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