南京师大学报(自然科学版)2011,Vol.34Issue(1):19-22,4.
广义Smash积和广义Smash余积的Maschke形式定理
Maschke-Type Theorems for Generalized Smash Product and Generalized Smash Coproduct
摘要
Abstract
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 surjective algebra map. If A is semisimple, then A#B is also semisimple. Dually, this paper gives a Maschke-type theorem for generalized smash coproducts.关键词
Hopf代数/广义smash积/广义smash余积/Maschke形式定理Key words
Hopf algebra, generalized smash product, generalized smash coproduct, Maschke-type theorem分类
数理科学引用本文复制引用
潘群星,李强,张良云..广义Smash积和广义Smash余积的Maschke形式定理[J].南京师大学报(自然科学版),2011,34(1):19-22,4.基金项目
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). (10571153)