摘要
利用已知Hopf代数构造新的Hopf代数是Hopf代数理论中最基本的问题之一.该文给出了Smash积A#H为Hopf代数,H是A#H的商Hopf代数,且具有弱内射H→A#H的充分必要条件.易证,此种构造推广了Radford和Majid等人所构造的双积和双交叉积等结构.
Constructing a new Hopf algebra with known Hopf algebras is one of the most important problems in studying Hopf algebra. In this paper, the authors derive necessary and sufficient conditions for the smash product algebra A#H to be a Hopf algebra with a Hopf quotient algebra H and a weak injection from H to A#H. It is easy to find that this structure includes the Radford’s biproduct and Majid’s bicrossed product as special cases.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2005年第2期201-212,共12页
Acta Mathematica Scientia
基金
国家自然科学基金 (1 0 471 1 2 1 )资助