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广义Smash积和广义Smash余积的Maschke形式定理
  • 期刊名称：南京师大学报(自然科学版),2011, 34(1):19-22
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]南京农业大学理学院,江苏南京210095, [2]南京大学数学系,江苏南京210093
  • 相关基金：国家自然科学基金（10571153）、教育部科学技术核心基金（108154）、南京农业大学青年创新基金（KJ08026）.
  • 相关项目：代数表示论方法与弦理论
关键词： HOPF代数, 广义smash积, 广义smash余积, Maschke形式定理, Hopf algebra, generalized smash product, generalized smash coproduct, Maschke-type theorem
中文摘要：

利用积分映射给出广义smash积的一个Maschke形式定理：假设H是有限维半单Hopf代数，并且存在一个代数满同态的积分映射φ：H→B．如果A是半单的，那么A#B也是半单的．对偶地，给出广义smash余积的一个Maschke形式定理．

英文摘要：

Using the integral map, this paper gives a Maschke-type theorem for generalized smash products： assume H is a finite semisimple Hopf algebra and there exists an integral φ：H→B which is a surjeetive algebra map. IfA is semisimple, then A#B is also semisimple. Dually, this paper gives a Maschke-type theorem for generalized smash eoproducts.

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期刊论文 63 获奖 1 著作 4
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