机构地区: 广西师范学院数学与计算机科学系
出 处: 《江西师范大学学报(自然科学版)》 2008年第1期26-28,35,共4页
摘 要: 卷积代数在Hopf代数中起了很大的作用,该文在岑建南文章的基础上继续讨论卷积代数的Hopf结构,给出了卷积Hopf代数的子空间的性质和卷积Hopf代数的子空间成为子代数、子余代数、理想、余理想的条件,同时还讨论了卷积Hopf代数的模和余模. Convolution algebra plays an important role in Hopf algebra. Then we discuss the algebraic structure of convolution algebra in the basis of Chen Jian-nan' s paper, and give some properties of the sub-spaces of convolution algebra and the conditions on which the sub-spaces can become the sub-algebras, the sub-coalgebras, ideals and coideals. We discuss the modules and comodules of the convolution Hopf algebras, simultaneity.