Birman-Murakami-Wenzl代数B8的表示理论

Birman-Murakami-Wenzl代数B8的表示理论

论文摘要

假设k是一个含可逆元r,q的域,满足Chark≠2且o(q2)>8.本文主要研究k上Birman-Murakami-Wenzl(简称BMW)代数B8的所有胞腔(Cell)模的模结构.我们的结果说明,除去四种可能的例外情况,B8的所有胞腔(Cell)模是重数自由的.

论文目录

  • 摘要
  • Abstract
  • 第一章 绪言
  • 第二章 预备知识
  • 2.1 Celluar代数和Cell模的定义
  • n的定义和性质'>2.2 Birman-Murakami-Wenzl代数Bn的定义和性质
  • 8的所有Cell模△(f,λ)(f≥2)的合成因子'>第三章 B8的所有Cell模△(f,λ)(f≥2)的合成因子
  • n(n=4,5,6)的所有Cell模△(f,λ)(f≥2)的合成因子'>3.1 Bn(n=4,5,6)的所有Cell模△(f,λ)(f≥2)的合成因子
  • 7的所有Cell模△(f,λ)(f≥2)的合成因子'>3.2 B7的所有Cell模△(f,λ)(f≥2)的合成因子
  • 8的所有Cell模△(f,λ)(f≥2)的合成因子'>3.3 B8的所有Cell模△(f,λ)(f≥2)的合成因子
  • 附录
  • 参考文献
  • 后记
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    Birman-Murakami-Wenzl代数B8的表示理论
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