| 吴美云.交换群上一类代数的不可约表示[J].数学年刊A辑,2009,30(6):839~844 |
| 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 |
| Received:August 06, 2008 Revised:March 01, 2009 |
| DOI： |
| 中文关键词: 非交换, Hopf代数, 不可约模 |
| 英文关键词:Non-commutative, Hopf algebra, Irreducible module |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| This paper constructs a quotient Hopf algebra through finding out a Hopf ideal in a non-commutative 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. |
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