pq^3维半单Hopf代数的结构

Structure of Semisimple Hopf Algebras of pq^3-Dimension

通过分析半单Hopf代数类群元所构成群的阶数,得到了特征为零代数闭域上pq3维半单Hopf代数的结构:它们或者是半可解的,或者同构于Radford双积R#A,其中:p,q是满足条件p>q2的素数;A是q3维半单Hopf代数;R是Yetter-Drinfeld模范畴A A Y D中的p维半单Hopf代数.

Analyzing the order of the group consisting of group-like elements of a semisimple Hopf algebra,the authors obtained the structures of semisimple Hopf algebras of dimension pq^3 over an algebraically closed field of characteristic 0：they are either semisolvable,or isomorphic to a Radford biproduct R#A,where p,q are prime numbers to meet the needs of p〉q^2,A is a semisimple Hopf algebra of dimension q^3,R is a semisimple Yetter-Drinfeld Hopf algebra in AA（y）（D） of dimension p.