期刊文献+

二面体群上的Hopf Ore扩张(英文)

Hopf Ore Extension over Dihedral Group
下载PDF
导出
摘要 In this paper, the Hopf Ore extension and corresponding module extension of the group algebra over dihedral group are studied. It turns out that the 1-dimensional and 2- dimensional simple representations can both be extended to the simple representations over a class of Hopf Ore extension. In this paper, the Hopf Ore extension and corresponding module extension of the group algebra over dihedral group are studied. It turns out that the 1-dimensional and 2- dimensional simple representations can both be extended to the simple representations over a class of Hopf Ore extension.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第6期1035-1040,共6页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China (No.10771182)
关键词 二面体群 扩建 扩展模块 群代数 多面体 dihedral group Hopf Ore extension module extension.
  • 相关文献

参考文献7

  • 1ORE O. Theory of non-commutative polynomials [J]. Ann. of Math. 1933, 34(2): 480-508.
  • 2PANOV A N. Ore extensions of Hopf algebras [J]. Math. Notes, 2003, 74(3-4): 401-410.
  • 3SWEEDLER M E. HopfAlgebras [M]. Benjamin, New York, 1969.
  • 4MONTGOMERY S. Hopf Algebras and Their Actions on Rings [M]. American Mathematical Society, Providence, RI, 1993.
  • 5MCCONNELL J C, ROBSON J C. Noncommutative Noetherian Rings [M]. Wiley-Interscience, New York, 1987.
  • 6CHEN Huixiang. Cleft extensions for a Hopf algebra kq[X,X^-1, Y] [J]. Glasgow Math. J., 1998, 40(2): 147-160.
  • 7ALPERIN J L, BELL R B. Groups and Representations [M]. Springer-Verlag, New York, 1997.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部