非交换群上一类代数的不可约表示  

The Irreducible Representation of a Class of Algebras over a Non-commutative Group

作　　者：吴美云[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《数学年刊（A辑）》2009年第6期839-844,共6页Chinese Annals of Mathematics

摘　　要：在一类无限维非交换Hopf代数上,借助其Hopf理想,构造出商Hopf代数,讨论了此商代数上的有限维不可约模,得出此非平凡不可约模的维数一定是2.This paper constructs a quotient Hopf algebra through finding out a Hopf ideal in a nonocommutative Hopf algebra with an unlimited dimension firstly, and then discusses the irreducible module with a limited dimension over this quotient Hopf algebra. Furthermore, it is concluded that the dimension of this nontrivial irreducible module is 2.

关 键 词：非交换 HOPF代数 不可约模 

分 类 号：O152[理学—数学]